







A four digit pass code 
20180226 

Jessica pose la question : I was trying to fond out how many combinations could there be for a four digit pass code to a phone when no numbers are repeated? Penny Nom lui répond. 





2color combinations 
20180105 

Sabrina pose la question : How many 2color (pair) combinations can be made from 12 individual colors... is it (11x12) or (optional): (11x12)x2? Penny Nom lui répond. 





10 digit permutations 
20171124 

Ed pose la question : HI my question..
numbers1,2,3,4,5,6,7,8,9,0 how many combinations are there
example: 518, 269, 3470
example2:815,972, 3460
example3: 185,047,2369 Penny Nom lui répond. 





Sampling distribution 
20171016 

Esther pose la question : I need 4digits combination of 235689 and without replacement. Thanks Penny Nom lui répond. 





Teams of 4 from 20 people 
20170804 

Christopher pose la question : math team has 20 people on the team but only 4 can enter the competition. The team captain has to pick 4 of them but he knows that he cannot put James, Bill or Todd on the team with one another or there will be problems. what would the formula be to find the solution to how many possible team combinations the are Penny Nom lui répond. 





A lock with 3 tumblers 
20170729 

Carol pose la question : I have a lock that has 3 tumblers. The numbers are 0  9. I cannot recall what I set the combination to. How many combinations will there be with three numbers? Penny Nom lui répond. 





Some 4 digit numbers 
20170724 

Camille pose la question : I need all of the 4 digit combinations that starts with number 3 and digits can't be repeated Penny Nom lui répond. 





A lost iPhone pass code 
20170417 

Sam pose la question : I have a locked iPhone and it has all my of my holiday photos on it. I changed the password and then I think I did a incorrect number pattern but anyway I know it ends with 99 and the first 4 digits are 235 and 6 could you please send all of the combinations for this password (without the 99) Thx and plz get back ASAP I need it for school Penny Nom lui répond. 





20 things taken 8 at a time 
20160530 

Jessie pose la question : I need all of the 8 digit combinations using the numbers 120.
i.e 1 2 3 4 5 6 7 8, 2 3 4 5 6 7 8 9 like wise
no number should be repeated in one combination.
Thanks
Jessie Penny Nom lui répond. 





Seven switches with 3 stages each 
20150915 

jeff pose la question : We are trying to solve a combination problem. If I have 7 things that can be in 3 states (say on/partially on/off), and all 7 have to a state. How many different combinations can there be? It doesn't seem like we should treat it as 21 independent things, but not sure how to break the problem apart. Penny Nom lui répond. 





4 digit strings using the digits 1, 2, 3 and 4 
20150614 

Gary pose la question : What is the number of possible combinations using the following fact pattern?
A. Each combination must have 4 numbers.
B. The possible numbers to choose from are 1, 2, 3, 4
C. The numbers can be included in the combination more than once. For example, it can be 1111.
Is it possible to generate a schedule of the possibilities? Penny Nom lui répond. 





A fivedigit pass code 
20150425 

Mary pose la question :
Question from Mary:
More on your published question:
I have the same type of lock, but set up a 5digit pass code. Is that more or fewer possibilities than a 4digit code. How many digits would make the lock most secure? I don't believe Werner specified this, but each number can only be used once. Thanks, Mary Penny Nom lui répond. 





Shaking hands at a party 
20141203 

Nazrul pose la question : At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Please help me. Penny Nom lui répond. 





4 card hands 
20141102 

Ronaldo pose la question : How many Mus hands (combination of 4 cards allowing repetitions)
can be made from a deck containing 8 types of cards?
RRRR, RRRC, RRRS, RRR7, RRR6, RRR5, RRR4, RRRA,
RRCC, RRCS, RRC7, RRC^, RRC5, RRC4, RRCA,
RRSS, RRS7, etc.
I think 330. If so, what is the formula? Penny Nom lui répond. 





A lost combination 
20140928 

Kim pose la question : I cannot remember my combo to this simple lockbox. It is 3 digits from 09. They can be used more than once . I thought it was 117..but no joy. I am fairly sure it was using those digits 1, and 7. can you give me a list of all possible combinations, using 1s and 7s, for the 3 number code? Thank you and I am in awe of people who have math skills, for I certainly do not. Penny Nom lui répond. 





Selecting a meal at a school cafeteria 
20140718 

Gil pose la question : A school cafeteria offers 2 main entrees, 3 fruits, 4 vegetables, and 3 drinks. If a plate consists of 1 entree, 2 vegetables, 1 fruit, and 1 drink, how many different plates can a cafeteria manager make? Please explain how you derived at answer. Thank you Penny Nom lui répond. 





6 character strings using 1, 5 and 9 
20140615 

Kevin pose la question : How many 6 digit combinations (i.e., 159159) can be made from 3 different numbers (i.e., 1,5, and 9)? The numbers will obviously have to repeat. A link to a calculator that could list all the combinations would be helpful. I've come across these sites: http://textmechanic.com/PermutationGenerator.html, and http://textmechanic.com/CombinationGenerator.html , but am not sure how to use them for my specific case. Thanks. Penny Nom lui répond. 





Three digit padlock combinations 
20140320 

Edwin pose la question : Would appreciate if you can provide me with the list of different combinations that can be obtained from a three digits number. I lost the access code of a three digits number padlock (and need to open it order to get important documents Penny Nom lui répond. 





Some 3digit combinations 
20140223 

ivana pose la question : How many possible 3digit combinations can be made of the numbers 123456?
None of the numbers can repeat in one combination. I used to know a formula but have been out of school for some time and cannot remember. Penny Nom lui répond. 





8 numbers from 80 
20130904 

susan pose la question : Out of 80 numbers how many combinations of 8 are there and what are they. Penny Nom lui répond. 





Four digit combinations starting with 7 6 
20130515 

Kaye pose la question : How do I find the rest of a four digit combination starting with 7 6? Penny Nom lui répond. 





Sixdigit passwords 
20130319 

Judy pose la question : Hello:
Can you please explain why the answer to the following question is 10^6?
What is the number of possible sixdigit passwords when using the digits 0 through 9, with repetition allowed.
Thank you. Penny Nom lui répond. 





Four digit "combinations" using 0124 
20130227 

Ayana pose la question : What are all the possible four digit combinations using 0124. Please list them for me. Thank you. Penny Nom lui répond. 





The last 4 digits of a cell phone number 
20121222 

Jacob pose la question : If the last 4 digits of a cell phone number, XXXXXXABCD, are restricted where: A cannot be 0 or 1 and B cannot be 0 / how many possible 4 digit combinations are left? Penny Nom lui répond. 





Some 4 digit numbers 
20121025 

samira pose la question : How many 4digit numbers are there in which the first and last digits are the same? Penny Nom lui répond. 





4 digit combinations 
20121017 

Scott pose la question : How many different 4 number combinations from 0123456789 with 2 out of the 4 odd and 2 out of the 4 even, with no numbers repeating. Thanks p lui répond. 





A security code 
20120901 

Breanna pose la question : The code is made up of five two digit numbers from 01 to 20 entered in a certain order. How many different security codes are possible with this system Penny Nom lui répond. 





Golf for 16 in 7 rounds 
20120816 

Elizabeth pose la question : Hello,
I am trying to sort out golfing for 16 guys for 7 rounds. However the twist is that the teams are broken down into 8 old boys vs. 8 young boys. Ideally, each of the players would only play each other once within their own team and then twice within all of the matches. Is that possible? Thanks for your help, my brain is hurting! Victoria West lui répond. 





6/49 
20120525 

Mark pose la question : Can you explain why the lotto 6/49 (a lottery of 49 numbers and 6 slots) is a combination and not a permutation?
It seems to me that it would a permutation given that the numbers are written in numeric "order" when you look them up in the newspaper.
I realize that 49P6 is orders of magnitude larger than 49C6. But I am confused about the reasoning behind it. Robert Dawson lui répond. 





A lost combination 
20120306 

pam pose la question : I lost the combination for my luggage that I haven't used for many years. It is a 3 digit combination. I'm pretty sure only these numbers could have been used: 0,1,2,3,7,8,9. Can you give me a calculated list of all these combinations? Penny Nom lui répond. 





Four digit combinations from 1,2, ..., 9 
20120226 

Errol pose la question : show me a list with all four digit combination numbers from 0 9 Penny Nom lui répond. 





A combination lock 
20111221 

Sheila pose la question : I have a combination lock with a total of 3 rows of single digits 1  9.
In order to open the lock, the numbers chosen for each row together
add to 12.I'm looking to generate a list of numbers that I can
sequentially try so that I can open the lock. Robert Dawson lui répond. 





The total number of roles that a user can be assigned 
20111202 

Colin pose la question : Hi, I want to define an equation for calculating the total combination of roles that a user can be assign in a system.
Here is the background: There are two types of roles that a user can be assigned. These are object roles and data roles. There must be at least 1 object and 1 data role in the system. A user must be assigned at least 1 object role and at least 1 data role. A user can be assigned as many object roles and data roles as are created in the system. There is no upper limit to the number of roles that a user can be assigned except for the total number of object roles and data roles that exist. The number of object roles and data roles in the system are independent.
Can someone please assist? Thanks. Penny Nom lui répond. 





In how many ways can 12 members of volleyball team line up ... 
20111118 

Aatir pose la question : In how many ways can 12 members of volleyball team line up if the captain and assistant captain have to remain together. Penny Nom and Stephen La Rocque lui répond. 





The number of People who Know Each Other 
20111021 

Ted pose la question : I'm trying to prove that at a party
where there are at least two people,
there are two people who know the
same number of other people there. Robert Dawson and Penny Nom lui répond. 





3digit, daily numbers 
20110929 

Margaret pose la question : I need the list/group for a raffle that would contain the combinations
for a 3 digit (000999) daily number. There would be 100 tickets sold
with 10 3digit numbers from each numerical group beginning
from 000's, 100's 200's, 300's,...900's. No duplicates/replacement. What would be the
list of possible combinations of each group of 100 tickets, keeping each
different group/list of combinations in separate blocks of 100 tickets
without duplication. So I could use 1 list of 100 this year and the next list of
combos next year and so forth. Please help!
Example: 000,197,245,367,445,569,618,777,842,964
What would be the possible lists of each 100 tickets?
Thank you Penny Nom lui répond. 





5 crayons 
20110917 

John pose la question : How many four color combinations are possible with 5 crayons Penny Nom lui répond. 





58 choose 4 
20110826 

Jean pose la question : Using only the numbers 159, how many times would the
number 23 appear in combinations of 5 numbers?
... Can a list be provided as well?
Thank you very much,
Jean Penny Nom lui répond. 





5 digit numbers using the digits 5 and 2 
20110427 

sissy pose la question : I need a list of all possible 5 digit combinations using 5 and 2 numbers can repeat Penny Nom lui répond. 





Is this a permutation or a combination? 
20110111 

Lamont pose la question : If I have 10 marbles: 3 blue, 2 yellow, 1 purple, and 4 red
How many ways can I pull out 3 different sets of marbles?
Is this a permutation or a combination? Penny Nom lui répond. 





A punchcode lock box 
20101129 

Doug pose la question : I am a real estate agent that uses punchcode lock boxes on houses to store the keys. I need to crack the code on one of our boxes, so I need a list of the possible combinations.
Rules:
4 digit code
Numbers 09
Each number can only be used once
Order of the numbers does not matter.
With advice from this site, I have calculated that there should be 210 possibilities.
10x9x8x7 (5040) gives me the total number possibilities and 4x3x2x1 (24) gives me the total number of ways to arrange those numbers.
So if I divide the possibilities by the arrangement, I get 210. (5040 / 24 = 210) GREAT!!!
Now, how do I develop a list of those 210 combinations?
Thanks for your help. Robert Dawson lui répond. 





My phone is "sim locked" 
20100610 

Daniel pose la question : Question from daniel:
got a phone that says sim locked, it requires 09 digit code to get in, how many combinations could there be if you could please list the possibilities, the number can be repeated. Penny Nom lui répond. 





Six numbers from 1 to 20 
20100510 

martine pose la question : how many different combinations can be made from numbers 1 to 20 using them only once in a six number scale Penny Nom lui répond. 





6 items are taken 3 at a time 
20100412 

Kristen pose la question : Explain the three different scenarios that could occur and would result in the following number of outcomes when 6 items are taken 3 at a time. Give reallife examples.
a. 63 = 6 x 6 x 6 = 216 possibilities
b. 6! / (6  3)! = 6 x 5 x 4 = 120 possibilities
c. 6! / (6  3)! 3! = 20 possibilities Tyler Wood lui répond. 





4 books at the book fair 
20100411 

Erin pose la question : You have enough money to buy 4 books at the book fair. There are 6 books to choose from. How many different combinations are there. Tyler Wood lui répond. 





How many 5 card hands in a deck of 52 have 2 aces and 3 other cards? 
20100323 

Travis pose la question : How many 5 card hands in a deck of 52 have 2 aces and 3 other cards? Penny Nom lui répond. 





Selecting 3 students from 16 
20100309 

amper pose la question : A class has 12 boys and 4 girls. If three students are selected at random from the class,
what is the probability that they are all boys? Penny Nom lui répond. 





How many triangles...? 
20100222 

deciree pose la question : Given 12 points, no 3 of them on a line with 6 red, 4 blue and 2 green points.
a) How many triangles have vertices all the same color?
b)How many triangles have vertices with each vertex a different color?
c)How many triangles have at least one green vertex?
thanks to lorraine! Penny Nom lui répond. 





A student wants to take four courses 
20100221 

deciree pose la question : A student wants to take four courses. She has 11 courses to choose from: 6 sophomore level and 5 freshmen level.
Each course is available at 8,9,10,11 am.
a)if the student wants to take 2 freshmen and 2 sophomore courses, how many choices she have?
b)If she wants to alternate these courses, freshmen,sophomore,freshmen,sophomore, how many choices does she have? Lorraine Dame lui répond. 





A pushbutton padlock 
20100117 

Vince pose la question : Hi,
I have a pushbutton padlock using ten buttons (1234567890).
Five digits must be pushed in order to open the lock.
Each digit can only be used once.
Order is not supposed to matter.
How many different possible combinations? And what are they? Harley Weston lui répond. 





A set of 5 numbers 
20100110 

Marco pose la question : I need to generate in an Excel or other table all possible combinations for a set of 5 numbers with the following criteria:
1. Numbers can repeat.
2. Order does not matter.
3. Numbers may be from 09
4. The sum of all numbers is equal or less than 31.
5. The sum of all numbers is equal or greater than 10.
6. One of the numbers is 2.
7. One of the numbers is 5.
8. One of the numbers is 7.
Marco Penny Nom lui répond. 





Two digit numbers 
20091210 

Jim pose la question : Can you tell me how many 2 digit numbers can be created
from the following:
1118539 Penny Nom lui répond. 





Sixletter words 
20091124 

christine pose la question : How many sixletter words (not necessarily an English words) are there in which exactly three of the letters are z's? Claude Tardif lui répond. 





6 numbers from 53 numbers 
20091117 

MIGUEL pose la question : IM A STUDENT IN HIGH SCHOOL AND IM HELPING THE SOCCER COACH WITH PLAYS
SO I NEED ALL THE POSSIBLE NUMBER COMBINATIONS OF NUMBERS 1 53 IN SETS OF SIX
THE NUMBER CAN ONLY BE USED ONCE IN EACH SET. Penny Nom lui répond. 





6 numbers from 12 
20091114 

david pose la question : how many combinations of 6 numbers can there be using 12 different
numbers without using the same numbers more than once?
2, 3, 5, 8, 9, 11, 12, 14, 17, 19, 20 & 31. Penny Nom lui répond. 





Pennies, nickels and dimes 
20090922 

Kiadadh pose la question : Show 12 ways to come up with 28 cents using only pennies, nickles and dimes Robert Dawson lui répond. 





4 number combinations 
20090910 

jeremy pose la question : Here's my question...
I've been playing the lottery, I know what a waste of time. I would like to know how many 4 number combinations can be derived from a set of 10 numbers, when no number can be repeated in the present string of 4 numbers being selected. Robert Dawson and Harley Weston lui répond. 





Combinations 
20090831 

Joe pose la question : I'm trying to find out how many combinations are possible out of 18 using only 4 numbers, but with no repetition of a single number in the 4 number sequence. EX: 2,3,2,5 wont work. Is it possible to create a list, and if so did my calculator lie to me when i got 70 as an answer? Penny Nom lui répond. 





Unlocking my suitcase 
20090821 

Jamboree pose la question : I need to have all the possible combination of three digit between 09, i have seen the answer that there are 720 combination are there. Could you please show me all those combination numbers so that i could try it out to unlock my suitcase, will you please write it down all those combination and send it to me Victoria West lui répond. 





Passwords 
20090708 

Tim pose la question : pretend I have a password that is  9k7d4112p5o
assuming that you continuously guessed wrong until that exact
combination was the only possible answer left;
how many times would you have to guess?
capital letters are not relevant
and you do not know how many digits there are Stephen La Rocque lui répond. 





Selecting 3 people from 4 
20090602 

muhammadibeaheem pose la question : Use mathematical induction to prove that for all integers n≥1,
is divisible by 3.
Question 2;
A club consists of four members.How many sample points are in the sample space when three officers; president, secretary and treasurer, are to be chosen? Penny Nom lui répond. 





7 digit combinations 
20090511 

CAROL pose la question : I NEED TO KNOW HOW MANY 7 DIGIT COMBINATIONS FROM 09 THERE ARE WITHOUT ANY REPEATES,
OR WHAT THOSE COMBINATIONS ARE? Penny Nom lui répond. 





Combinations and permutations 
20090507 

Renee pose la question : We are trying to figure out the equation or how to solve the problem of how many combinations of 4 digits you can get out of 09 without repeating the numbers in a set (i.e., no 0001, 0002) begining with 0123, 0124, 0125 etc
Thanks! Stephen La Rocque lui répond. 





Permutations 
20090430 

Evan pose la question : There are 24 possible combinations of the numbers 1 through 4, and 5 times that many
combinations of the numbers 1 through 5. Are there 144 (6x24) possible combinations of 1 through
6? Or is it 6x5x24? Is there a formula for determining this?
Thanks,
Evan Penny Nom lui répond. 





Fourdigit combinations 
20090418 

Carri pose la question : How many 4digit combinations can be made out of digits 1, 2, 3, 4, & 5 using each number once? What are the combinations? Penny Nom lui répond. 





How many handshakes took place? 
20090415 

wm pose la question : Suppose every member of the House of Representatives shakes
hands with every other member exactly once.
How many handshakes took place ? Penny Nom lui répond. 





Possible combinations of 2 numbers between the range 1 and 50 
20090403 

Carl pose la question : Hi, I think I'm right in saying that there are 1225 possible combinations of 2 numbers between the range 1 and 50?
I used the function =combin(50,2) in excel to establish this.
What I'd like to do is be able to prove this using a calculator or pen and paper.
I've searched your website, but to be honest all the algebra stuff just confuses me!
Could you explain the math without using algebra please.
(We run a tote in the office, where you pick any two numbers between 1 and 50, and if your numbers come up you win, so I'm trying to work out all the possible combinations. The same number can't be used twice either)
many thanks
Carl Stephen La Rocque lui répond. 





What is the probability of accepting the box? 
20090322 

x pose la question : a box consists of 10 light bulbs inspected by the following procedure: 2 bulbs are chosen at random without replacement. the box is only accepted if both bulbs work. suppose that the box contains 1 defective bulb. what is the probability of accepting the box? Penny Nom lui répond. 





16 golfers 
20090318 

Bill pose la question : We have 16 golfers. We golf for 5 days, in foursomes. It should work out that each player plays with each other player 1 time exactly.
I just can't figure it out.
Thank you in advance!
Bill Claude Tardif and Victoria West lui répond. 





License plates and poker hands 
20090314 

CC pose la question : You have a license plate it can have 6 numbers/letters you can use the numerals 09 and the letters AZ how many combos are possible and how did you figure it out?
Question 2,
Your dealt an Omaha hand You have KKKQQ, how many different hands can consist of the same cards. Harley Weston lui répond. 





15 flavors of ice cream 
20090311 

Pedro pose la question : I was given this word question an was somewhat confused can u help me understand.
An ice cream vendor sells 15 flavors of ice cream and u want to sample at least
4 different types. how many different combinations of ice cream would u be able
to sample? Penny Nom lui répond. 





Trifecta 
20090309 

Annie pose la question : I want to know how many combinations are there for the first 3 horses in
a race of 20 horses. For example, the horses can come in 1, 5, 7 or
7, 5, 1 which are totally different combos. I've only found formulas
where the 1, 2, 3 and 3, 2, 1 are counted as the same combo.
In horse racing every combo is different.
Thank you. Penny Nom lui répond. 





Three number combinations 
20090227 

mark pose la question : How many three number combinations can I get using 1,2,3,4,5? I can use a number more than once. Robert Dawson lui répond. 





Combinations of 11 from 13 
20090217 

john pose la question : i would like to know the possible combinations of eleven folds form 13,
i think they are 78 lines in total, thank you Robert Dawson lui répond. 





4 digit arrangements of 7 3 6 6 
20090205 

Carole pose la question : I need all the four digit combinations using the numbers 7 3 6 6 Penny Nom lui répond. 





Missing three digits in a phone number 
20090130 

Elmer pose la question : I have part of a phone number. the first 3 digits are 212, the last digit is four, and the three missing digits are all odd, how many numbers will I have to call to get the right number?
212 _ _ _ 4? Stephen La Rocque and Penny Nom lui répond. 





How many color combinations are possible for the four rooms. 
20090126 

Irfan pose la question : John wants to paint 4 rooms in his house, each a different color and he may choose from 7 different colors of paint.
How many color combination are possible for the four rooms. Robert Dawson lui répond. 





5 "digit" combinations 
20090122 

Timothy pose la question : I was wondering how many different 5 digit combinations are possible using 09 and az and you can use the same letter or number repeatedly in the combination. Penny Nom lui répond. 





I lost the combo to my lock box 
20090110 

Rob pose la question : I lost the combo to my lock box, I remember 2 of the #'s in the combo are 6, but dont remember which ones.
What are the possible scenarios knowing the above? Thanks! Stephen La Rocque lui répond. 





Permutations and combinations 
20081228 

KHADIJA pose la question : What's the difference between Permutation and Combination? Penny Nom lui répond. 





Dividing some flowers 
20081209 

gaurav pose la question : two girls have picked 10 roses,14 daffodils,15 sunflowers . what is the number of ways they can divide flower amongst themselves? Stephen La Rocque lui répond. 





License plates 
20081117 

Clayton pose la question : Okay, so in this situation a license plate must have four letters (AZ) and four numbers (09), ex. ABCD1234, where repeating a letter or number is allowed ex. AAAA1234, or ABCD1111, or AAAA1111. The order of letters first numbers second, or number first, letters second is allowable, and each state has its own plates, so ABCD1234 from New York, and ABCD1234 from Minnesota are considered different combinations, how many different license plates could there be? Penny Nom lui répond. 





Three digit combinations 
20081112 

Jimmy pose la question : How many 3 digit combinations are possible using numbers 19?
How did you get that answer? Harley Weston lui répond. 





4 digit combinations 
20081105 

Laura pose la question : I need to know all the number combinations possible with a 4 digit combination with double zero in the middle??? Penny Nom lui répond. 





A three 09 tumbler lock 
20080922 

Louis pose la question : I recently gave my daughter an old briefcase which uses a three 09 tumbler lock. She set the lock and now she can’t open one side.
Q. Is there a 3 digit combination number generator available to give me the 1000 possibilities?
Thanks,
Lou
PS In this type of lock you can repeat the same digit three times. Penny Nom lui répond. 





Mixing watercolour paints 
20080907 

bob pose la question : So, I'm making a chart to help me mix watercolor paints. There are
25 different paints. Each paint will mix with another paint just 1 time.
There is no need to mix red with blue, and then blue with red. Since
the result is the same, we only need 1 combination of the 2 paints.
And there is no need to mix red with red, so we can eliminate 25
combinations of the same paint. Penny Nom lui répond. 





Three letter combinations 
20080815 

Shelbie pose la question : How many 3 letter combinations are possible, if you can repeat each letter?
I learned an easy way to do this in school, but fail to remeber what that was... Penny Nom lui répond. 





Choosing 5 numbers from 39 
20080804 

robert pose la question : Hi,
I am sending you the web page where I found the question of 39 numbers and =
5 choices, please see below.
How does they comes up with the 120 combinations?
How can I comes up with the 120 combinations in a printout form?
Please read all the way to the bottom of there example and see where they talks about the 120 combinations. Victoria West and Harley Weston lui répond. 





3 digit combinatios from 09 
20080727 

Mike pose la question : I need to know all the possible 3 digit combinations using the numbers 09.
The numbers can be repeated as long as they are not of the same set.
Example for not repeating: 123 is ok but not 321 or 231,132,213, etc.
Please help me. Thanks, Mike. Stephen La Rocque lui répond. 





Choosing 4 numbers from 70 numbers 
20080721 

Jeannine pose la question : When using numbers from 1 to 70 in sets of 4, how many combinations are there without having the same combination twice?
Thanks Penny Nom lui répond. 





Choosing 5 numbers out of 39 numbers 
20080718 

robert pose la question : Please list the way I can choose 5 numbers out of 39 numbers, without repeating them, starting at number 1.
Please send me a list of all 120 combination. Harley Weston lui répond. 





Making Change 
20080709 

Peter pose la question : In how many ways can you make 30 cents with quarters, nickels, and pennies? Penny lui répond. 





Probability and two digit numbers 
20080707 

Peter pose la question : What is the probability that if you multiply two randomly selected two digit whole numbers, the result is greater that 100 and less than 200. Express your answer as a common fraction. Janice Cotcher lui répond. 





6 things from 45 things 
20080508 

Hakan pose la question : Hi im a student studying advanced mathematics and i would like to know how many
possible sequences of six digits there are using the numbers from 1 to 45 (1 & 45 are
included) but none of the sequences can be identical even if the numbers are in
different orders.
Example : 1,2,3,4,5,6
2,3,4,5,6,1 these two sequences are identical even though the digits have
changed their order so therefore is incorrect.
I would like to know the easiest way to write these sequences along with how
many there are. This is extremely important for my year 12 exams Thank You. Penny Nom lui répond. 





Twenty golfers 
20080316 

john pose la question : I have a group of 20 golfers. We plan on playing 6 rounds of golf in 4 days. I would like to have the most possible combinations of players without each player playing with anyone if possible, in the 4 days of golf Victoria West lui répond. 





3 numbers from 14 numbers 
20080304 

Jackie pose la question : I would like to know all the combinations possible with 3 numbers in each
combination, using the numbers 114. Penny Nom lui répond. 





Choosing 5 numbers from 56 numbers 
20080302 

alexavier pose la question : need all of the 5 digit combinations using the numbers 156. Harley Weston lui répond. 





How many different hamburgers is it possible to order? 
20080217 

Elizabeth pose la question : At a hamburger stand you can order a hamburger with any of the following, in any combination: ketchup, mustard, pickles, onions, tomatoes, mayonnaise and/or lettuce. How many different hamburgers is it possible to order? Penny Nom lui répond. 





Five digit combinations 
20080215 

Debbie pose la question : I would like to get a list of all the possible 5 digit combinations of the numbers 12345. Penny Nom lui répond. 





A briefcase lock 
20080211 

Alfred pose la question : A briefcase lock has 3 columns of numbers each 09. It opens with the correct combination of three numbers.
How many combinations are possible to open the lock. Penny Nom lui répond. 





Choosing 6 numbers from 42 
20080119 

Marcus pose la question : If i have 42 numbers to choose from and i could only choose 6 numbers at a time without choosing the same number twice in the same row, how many possibilities are there? Penny Nom lui répond. 





Combinations of the numbers 1 to 22 
20080117 

Frank pose la question : How many combinations are there for 22 numbers (1 to 22) of 4 numbers and 5 numbers. For 4 would it be 22 x22 x22 22 for 4 one more x 22 for 5? Thank You! Penny Nom lui répond. 





Five boys and two girls in a line 
20080112 

pankaj pose la question : There are 5 boys and 2 girls.In how many ways can they stand in row so that no two girls are together? Penny Nom lui répond. 





Unique combinations of 5 names 
20080108 

tony pose la question : Hi  I have went through so many of your answers and can't find exactly what I need. I am looking to find all possible combinations of names programmatically.
Example:
If I have 5 names:
Mike
Tony
Joe
Bill
Bob
How many unique combinations can I put together (regardless of order)
For instance:
(Mike, Tony) is 1 combination
(Mike, Joe, Bob) is another combination
but (Tony, Mike) is the same as (Mike, Tony) so it would not be valid.
I am pretty good in logic and math but by no means an expert. I am a programmer and am looking to store each unique combination in a database (I will handle that part of course I just need help on the unique combinations) Victoria West lui répond. 





Combinations 
20080108 

david pose la question : is there a simple formula to follow for the number of combinations a set of numbers could have
ie.( lotto 649, 6 numbers, 149 range) Penny Nom lui répond. 





3 digit numbers made from 1,2,3,0 
20080107 

cheri pose la question : COULD YOU GIVE ME ALL THE # COMBINATIONS I NEED 3 DIGIT NUMBERS MADE OUT OF THE NUMBERS 1, 2, 3, 0.. I CAN ONLY COME UP WITH.. IM TRYING TO MAKE PASSWORDS FOR MY FINGERPRINT LOCK I PURCHASED, AND THEY TOLD ME THERE I COULD GET 78 DIFF COMBOS,,,,, PLEASE HELP ASAP, NEED TO GET MY CUSTOMERS HOOKED UP SO THAT THEY CAN ENTER THE CLUB HELP AND THANK YOU SO SO MUCH Victoria West lui répond. 





A 5 button lock 
20080102 

mandy pose la question : i have a problem. I have a 5 button lock.and i seem to have forgotten
the combination. You can only push each button once but you can push
more than one button at a time and you don't have to use each button
but i am pretty sure i used all five. for example it can be
1,2,3,4,5 or 1,2&3,4,5. I was wondering if anyone can get me a list of
all the possibilities because i really need to get the box open. Penny Nom lui répond. 





Bingo cards 
20071230 

Martin pose la question : I'm trying to produce bingo cards.
There are only 4 numbers on each bingo card.
The numbers are between 1 and 12.
How do i produce as many bingo cards as possible without duplicating number combinations? Victoria West lui répond. 





Combinations of 1, 2, 3 
20071229 

gary pose la question : I can only write the numbers 1, 2, 3, in six different combinations. Are there any more possibilities Penny Nom lui répond. 





How many triangles can be formed? 
20071221 

pankaj pose la question : Q.There is 2 lines parallel to each other. If 1st has 5 points in it and 2nd 3 points in it,how many triangles can be formed? Penny Nom lui répond. 





12 balls are divided between 2 boys 
20071120 

anita pose la question : In how many ways can 12 balls be divided between 2 boys, one receiving 5 and the other 7 balls ? Penny Nom lui répond. 





A 3 digit lock 
20071106 

Michael pose la question : We have a 3 digit lock that only allows for 5 possible numbers to be used. (The numbers can repeat) What are the total number of combinations that can be created. Penny Nom lui répond. 





How many combinations can there be for 12 games? 
20071101 

Melissa pose la question : I am looking to find out how many different combinations there are in 12
sports games. Let's say I have 12 baseball games, total 24 teams, and
there can only be two results, win or lose, no ties. How many
combinations can there be for 12 games? Thankyou very much. Penny Nom lui répond. 





Combinations and horse races 
20071028 

Ian pose la question : How do I calculate the number of combinations for:
Horse races,1 horse in each race.I want all combinations covered.
e.g.5 races, 1 horse in each race. R 1&2, R 1&3,R 1&4, R 2,3,4,5, R 1,2,3,4,5 etc etc.I have worked it out manually to 27 combinations
but if I want to cover more than 5 it will be a big excercise to work out the cost manually.
Many Thanks Victoria West lui répond. 





Some four digit combinations 
20071025 

Larisa pose la question : Please tell me the answer or how to get the answer of every possible digit combination of 5173, for instance1735, 1753, 1573, 1537, 1357, 1375, etc. Stephen La Rocque lui répond. 





Choosing 3 crayons from 6 crayons 
20071023 

Greg pose la question : I have six crayons: red, orange, yellow, green, blue, and purple. I need to know how many combinations of three crayons can I have. Penny Nom and Melanie Tyrer lui répond. 





2 password policies 
20071017 

Larry pose la question : 2 password policies are in question.
Policy 1 states that a password must be between 6 and 8 characters
Policy 2 states that that a password must be exactly 8 characters.
Both policies state that Passwords can contain AZ az 09 (26*2)+ 10 characters to choose from.
Which policy is stronger?
How many potential passwords exist for policy 1 and how many for policy 2? Penny Nom lui répond. 





Golf pairings 
20071002 

Mike pose la question : Regarding arranging golf players so no person plays with anyone more than once.
You have given examples for 16 and 24 players. If it can be done, i need a
solution for 20 players, 4 players per team one round per day for 5 days Victoria West lui répond. 





4 number combinations 
20071001 

Steve pose la question : How many 4 number combinations are possible with a total of 24 numbers. No two
numbers can be in the same group twice. Is there a matrix I can set up to get all the
combinations?
Thanks Victoria West lui répond. 





Choosing 3 numbers from 36 
20070921 

Jon pose la question : How many distinct combinations can be made when choosing 3 numbers from 36?
IE you can only choose each number once Victoria West lui répond. 





Combinations of 4 letters from 8 letters 
20070904 

Heidi pose la question : how many different combinations of 4 letters can be made from a set of 8 letters? Harley Weston lui répond. 





Four digit combinations 
20070904 

Natalie pose la question : Using The Numbers 7 4 5
How many different 4digit combinations are possible, you can use any of the numbers twice. Penny Nom lui répond. 





Arrangements of children by age 
20070902 

shani pose la question : How many different arrangements of children by age can there be in families with four children?(hint: Boygirlboygirl is different from boygirlgirlboy. Presume there are no twins)
The hint is more confusing than the question. Penny Nom lui répond. 





Rearranging the alphabet 
20070818 

samhita pose la question : Find the number of ways of arranging 26 letters in the English alphabet in a row such that there are exactly 5 letters between x and y. Stephen La Rocque and Penny Nom lui répond. 





6 digit combinations 
20070816 

steve pose la question : how many 6 digit combinations are there (using a number only once) are there using numbers 116 Penny Nom lui répond. 





An old bike lock 
20070808 

Jeremy pose la question : I have an old bike lock i found in the garage of the house i just moved in to. It has four columns and the nubers are 1 through 6. I understand that there are 1236 (6x6x6x6) possibilities. Is there a graph of all the possible combinations cuz i looked all over the web and couldn't find one. Penny Nom lui répond. 





4 digit number combinations that start with the digit 2 
20070805 

tonnie pose la question : my question is what are all the 4 digit number combinations that start with the number 2? Harley Weston lui répond. 





Permutations and combinations 
20070729 

Marcy pose la question : I'm having difficulty teaching my students when to use permutations or combinations. Is there a "catchy" way to teach them that will help them to identify when to use permutations and combinations? Penny Nom lui répond. 





Why are these two questions different? 
20070721 

Mac pose la question : Basically i like to know the difference between two solutions.
( I taken this questions from a web link)
Questions1) From 6 boys and 4 girls, 5 are to be selected to admission for a particular
house. In how many ways can this be done if there must be exactly 2 girls.
sol)
C(4,2)= 6
C(6,3)= 20
solutions is : 6*20= 120.
Question2) Out of 10 consonants and 4 vowels how many words can be formed each
containing 6 consonants and 3 vowels.
sol) C(10,6)
C(4,3)
and then 9! for arranging the selected words(9 character word).
solution= C(10,6) * C(4,3) * 9! = 30,48,19,200
Now my question is, why are we multiplying 9! in the second problem
and why we didnt multiply 5! in the first question ? Claude Tardif and Harley Weston lui répond. 





I need all the possible 4 digit combinations... 
20070718 

Jo pose la question : I have lost the code for my car stereo. I need all the possible 4 digit combinations using the numerals 1 2 3 4 5 and 6. Thank you Penny Nom lui répond. 





Five button push lock 
20070706 

Jeffrey pose la question : We have a 5 button push lock and we were wondering how many different codes were possible in this situation. In this lock each button can only be pressed once (ie it's not a numbered key pad) and order matters. How would we find out the # of possible codes? Stephen La Rocque lui répond. 





All 4 digit combinations for numbers 0 through 9 
20070621 

Jessica pose la question : How can I find all 4 digit combinations for numbers 0 through 9? Penny Nom lui répond. 





A 5 digit key 
20070531 

Michael pose la question : I have a 5 digit key pad lock on my truck.
I want to print out all of the combinations to try.
pad one=0 pad two =1 pad three=2 pad four=3 pad five =4.
can you help me find and print all combinations? Harley Weston lui répond. 





Specific combinations 
20070522 

Gerald pose la question :
 I have a group of 7 men and 4 women. How many groups can be formed in which I would have: a) 3 men and 2 women and b) 5 people in which at least 3 among them would be men.
 I have a bag containing 7 black marbles and 5 white marbles. How many combinations of 5 marbles of which 3 are black and two are white are possible?
Penny Nom lui répond. 





A push button lock 
20070521 

Werner pose la question : I have a push button lock (the numbers entered does not have a start and end i.e. 1234 = 4321 or 2341 = 3241 ...)
So if it is a 4 digit code and you have 10 buttons (0 to 9) there should be 5040 (?) possibilities and how would I list these unique combinations Penny Nom lui répond. 





All the possible 8 digit combinations of 09 
20070516 

Christofer pose la question : What are all the possible 8 digit combinations of 09? List please
I know that there are 43046721 combinations but I want to know
what they are. Stephen La Rocque lui répond. 





How many ways can I choose 4 numbers from 10? 
20070510 

Mitch pose la question : Can you give me a list of all possible four digit combinations using 0 to 9 no repeat numbers and the numbers do not have to be entered in a special order. If you could also show me how to calulate this it would be great Stephen La Rocque lui répond. 





Combinations 
20070509 

Michael pose la question : Show that 5 X C(n,5) = n X C(n1,4) Stephen La Rocque lui répond. 





Probability of getting an A 
20070509 

Christine pose la question : In a class of 15 people, exactly 3 got an A. If 2
people are randomly chosen from this class, what is the probability that
at least one of these 2 got an A? Paul Betts lui répond. 





A committee of 4 
20070509 

Danielle pose la question : I was wondering: What is the probability that both Barb and Bob are both
on the same committee of 4 which is chosen fom their class of 10 people?
Is it 2/5? Thanks a bunch! Penny Nom lui répond. 





Lottery numbers 
20070504 

Trish pose la question : What are all the six digit combinations between 1 & 36 Stephen La Rocque lui répond. 





Choosing 6 from a set of 12 
20070412 

Darren pose la question : there are 12 numbers (123456789101112)
how many times can i pick 6 different numbers? Stephen La Rocque lui répond. 





Choosing numbers with no two consecutive 
20070315 

Meghan pose la question : How many combinations are there of 3 numbers chosen from 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 but where no 2 of the 3 numbers are consecutive?
Thank you!
Meghan Penny Nom lui répond. 





How many different combinations of players can the coach make? 
20070313 

lisa pose la question : there are 8 basketball players on a team. only 5 can play on the court at 1 time. how many different combinations of players can the coach make. the book said the ans. was 56 I do not know how that was please show me how to solve it. thanks Penny Nom lui répond. 





A survey of 9 independent questions 
20070309 

Sueheir pose la question : I have a survey of 9 independent questions. Each of the 9 questions has the following answers (Good, average, poor) occurring equally likely. How many different combinations of answers do I have ? What is the probability of each combination? how many similar combinations do I have?... thanks a lot! Penny Nom lui répond. 





Combinations 
20070218 

Zahid pose la question : How can i find the combinations of 5digits till 50!. Without any repeating numbers. For e.g 1,2,3,4,5 that's one 7,8,9,10,11 that another one. There might be case of getting 1,45,47,22,7 . How can i find ALL the combinations of 5digits till 50? Penny Nom lui répond. 





Four number combinations 
20070216 

Joe pose la question : I have an uncle who plays the Massachusetts daily lottery. It a 4 number lottery. He wanted to know how many different 4 number combinations could he make using these 12 separate numbers.
3 7 4 0 6 9 1 3 7 3 9 8 Penny Nom lui répond. 





As many player combinations as possible 
20070118 

Ken pose la question : I coach a 5th grade basketball team with 12 players. I'd like to come up with a way to get as many player combinations as possible with two teams of 6 so that the makeup of the teams is different each time. An example would be: Players 16 on one team and players 712 on the other. Then I could have 1,3,5,7,9,11 on one team and the evens on the other. Then 1,2,6,7,9,10 on one team and the rest on the other. Can you help set something like this up? Chris Fisher lui répond. 





At the ice cream parlor 
20070110 

Bill pose la question : at the ice cream parlor, customers can chose among five different ice cream flavors and can choose either a sugar cone or a waffle cone. considering both ice cream flavor and cone type, how many distinct triplescoop with three different ice cream flavors are available? Penny Nom lui répond. 





A dozen donuts from an unlimited supply of five types of donuts 
20070107 

Mel pose la question : how many ways can you buy a dozen donuts from an unlimited supply of five types of donuts? Penny Nom lui répond. 





How many different lineups are possible? 
20070106 

Steve pose la question : I have 7 players on a basketball team/roster. If 5 players can play at the same time, how many different lineups are possible? Penny Nom lui répond. 





Phone number combinations 
20070104 

Efrain pose la question : i want to know the different combinations for numbers 7 digits the number are 09 its basically the different phone number combinations example: 5556689 or 5654896 i just want to know for many different combinations are there.... Penny Nom lui répond. 





2 digit combinations 
20061204 

Gary pose la question : please figure out for me what are the 2 digit combinations of numbers using numbers 0 thru 9 Penny Nom lui répond. 





How many licence plates are possible? 
20061124 

Naomi pose la question : The state of New York has licence plates with five numbers followed by either a letter A or a letter B (eg. 36457A ,59972B ). How many licence plates are possible? Penny Nom lui répond. 





Show that nCr = n C(nr) 
20061122 

Ronnie pose la question : Show that nCr = n C(nr) Penny Nom lui répond. 





How many trains of length 5 are there? 
20061120 

Shea pose la question : A "train of length 5" is a row of blocks whose combined length is 5. Here are some examples: 122, 212, 131, 5, 14. If you use identical blocks in a different order, this is a separate train. How many trains of length 5 are there? Come up with a formula for the number of trains of length n. Penny Nom lui répond. 





Number combinations 
20061109 

Bob pose la question : how can I find out all the different combinations for the numbers 8168 example 8168, 8868, 1688,1886,6818 etc. how many are their. Penny Nom lui répond. 





A dinner group of 16 couples 
20061102 

Nancy pose la question : This is a realworld problem. I should know the answer but I don't. A friend is starting a dinner group of 16 couples, to be distributed across 4 houses. Each month she wants to have a different set of host houses (no problem) AND she doesn't want repeats among pairs. That is, if the Smiths and Joneses are together one month, they should not be together another month until all the combinations have been exhausted. How many valid combinations are there? Is there a formula that I can convert into a computer program? I will have to get the names from my friend and give her back the combinations as she would not be able to deal with the math formulation. Denis Hanson lui répond. 





Four digit combinations 
20061026 

Sasha pose la question : CAN YOU LIST ALL OF THE POSSIBLE 4 DIGIT COMBINATION'S, THAT DO NOT START WITH 0? Stephen La Rocque lui répond. 





A specific 8 digit number in a 11 digit mobile phone number 
20061013 

James pose la question : I need to know the chance of finding a specific 8 digit number in a 11 digit mobile phone number.
the number must be 29571596 and the 11 digit phone number must end in this.
All numbers 09 are used in a mobile number but the first 2 digits will always be 07.
Is there a way to work this out?? Stephen La Rocque lui répond. 





Onequarter of all 3subsets of the integers 1,2,3....,m contain the integer 5 
20061009 

Hina pose la question : If onequarter of all 3subsets of the integers 1,2,3....,m contain the integer 5, determine the value of m. Steve La Rocque and Claude Tardif lui répond. 





How many different threedigit numbers can you make using ... 
20060912 

Beth pose la question : How many different threedigit numbers can you make using the numbers 2, 5, 7, 8 using the digits any number of times? Stephen La Rocque and Penny Nom lui répond. 





I have 4 numbers and want to find all possible combinations. 
20060905 

Candace pose la question : I have 4 numbers and want to find all possible combinations. I come up with 24 but that seems too small...am I correct that there should be more? Stephen La Rocque lui répond. 





Bike combination lock 
20060716 

Alejandra pose la question : I have a bike lock. It has three columns of the digets 19 and zero. I have forgotten the combination. Three numbers need to be imputed. What are the possible lock cominations, so that i can try to break the lock? Stephen La Rocque lui répond. 





How many arrangements are there? 
20060416 

Jim pose la question : Can you tell me how many different combinations there are using 3 letters and 4 numbers. Letters first then numbers, example aaa0001, aaa0002, aaa0003,baa0001, baa0002, zzz9999. Stephen La Rocque lui répond. 





How to find the odds for a lottery jackpot 
20060412 

Harvey pose la question : Is it best to use factorials to calculate the odds of winning a lottery, such as the MegaMillions that is popular in the US, or is there a better way? Stephen La Rocque lui répond. 





Probability of a committee with 3 parents and 3 teachers 
20060412 

Javier pose la question : A committee consisting of 6 people is to be selected from 8 parents and 4 teachers. Find the probability of selecting 3 parents and 3 teachers. Stephen La Rocque lui répond. 





If you pile the 4 bricks on top of each other ... 
20060327 

Mike pose la question : You have 4 bricks each with dimensions of 4" X 5" X 9". If you pile the 4 bricks on top of each other to form a tower how many different tower heights can be achieved? All four bricks must be used in each tower. Claude Tardif lui répond. 





Four digit numbers 
20060325 

Kenvin pose la question : i was wondering how many possibilities is there for a four digit number with the same first two numbers and the last two is not one of the first with numbers 19 Stephen La Rocque lui répond. 





A 4digit Combination Lock 
20060309 

Adam pose la question : I have a 4digit Combination Lock but i have forgotten the code. i do know that it is an even number, all the digits are different, the second digit is zero and the largest digit is 6. what are all the possibilities. Stephen La Rocque lui répond. 





Combinations 
20060225 

Nancy pose la question : I NEED THE FIND THE TOTAL NUMBER OF COMBINATIONS FOR THE FOLLOWING NUMBERS IN LOTS OF 5
1,2,3,4,9,13,15,17,19,21,25,27,29,30,34,36 Stephen La Rocque lui répond. 





Teams 
20060124 

Brianna pose la question : A small business has 8 employees. Every day, the owner designates a team to do a certain task. The owner is careful never to designate a team that is a subset of a former team or a future team, because then some people might feel not really needed in some teams. Prove that even being so considerate, the owner can choose a different team on each of 70 consecutive days. Penny Nom lui répond. 





The number of combinations of the digits 0235588 
20051207 

Blake pose la question : If you have the digits 0235588 how many different combinations can you possibly form with these seven digits? Penny lui répond. 





5 digit numbers that include 5 and exclude 8 
20051104 

Paul pose la question : figure out
how many 5 digit numbers are there that include the digit 5 and exclude the
digit 8.
show me how to do get to the answer. (23816) Paul Betts lui répond. 





The number of four digit combinations 
20050809 

Kevin pose la question : My 12 year old has asked me how to figure out the number of four digit combinations possible using 0 thru 9 without repeating a number? Penny lui répond. 





In how many ways can 12 different fruits be distributed 
20050613 

Sapta pose la question : In how many ways can 12 different fruits be distributed among 3 boys so that each receives at least 1 fruit? Claude Tardif lui répond. 





A six digit answer 
20050518 

Angela pose la question : I have a 6 digit answer that is comprised of only 4 symbols: a square, a circle, a triangle, and an X. How many possible solutions are there and how is the best way to find out what ALL the solutions are? Penny Nom lui répond. 





A pattern of numbers 
20050421 

Claire pose la question : We need to be able to discover the nth term in a pattern of numbers and
explain how we did it. We have arrived at the formula 1+2+3+...n=n(n+1)/2
for trios where a trio series is;
3 has the following trio (1,1,1)
4 has the following trios (2,1,1), (1,2,1), (1,1,2)
5 has the following trios (3,1,1), (1,3,1) (1,1,3) (1,2,2) (2,2,1) (2,1,2)
So the series is as follows Penny Nom lui répond. 





How many three digit numbers can I make from the four cards 
20050312 

Sue pose la question : I have four playing cards 2,3,4,5 of hearts. How many three digit numbers can I make from the four cards. Penny Nom lui répond. 





A combination lock has 60 positions... 
20050207 

Kathy pose la question : A combination lock has 60 positions arranged in a circle to which a pointer may be set. Three settings are required to open it and no one setting may be closer than 5 positions from the immediately preceding setting. How many different locks may be manufactured? Penny Nom lui répond. 





A seating arrangement 
20050203 

Kay pose la question : If you have 5 married couples, how many arrangements can be made if they must sit across from each other? Penny Nom lui répond. 





A combination question 
20050126 

Kelly pose la question : A computer with an old processor locks up if more than 4 applications are running at the same time. If the owner has 20 applications stored in his program file, how many different sets of 4 can he run, so that his computer does not lock up? Penny Nom lui répond. 





Strings of 4 digits from 1,2,...,7 
20041209 

Tom pose la question : How many different combinations can be made of the numbers 17 in 4 string combinations in any order? EX:7235, 3517, etc...
And if you were to include the same 2 numbers in every combination, how many would that make? EX: Using 1 & 2: 1274, 5142, 2751, etc... Penny Nom lui répond. 





Combinations 
20041209 

Keith pose la question : i have a bucket that can hold 12(or x) number of rocks. if i have 13(or y) rocks how many different combinations of rocks can i put in the bucket without having the exact same 12(or x) rocks in the bucket. is there a formula that can be used for this problem in all cases and if so how and why does it work. Penny Nom lui répond. 





Combinations 
20041122 

Vivek pose la question : Show that
10C0 + 10C1 + 10C2 + 10C3+.....10C10 =1024 Penny Nom lui répond. 





Visitor wins or home wins 
20040929 

Paavn and Laddi pose la question : I have a math question i am stumped on for one of my classes. The question states that there are 14 baseball games with 2 possible outcomes for each game, visitor win or home win. How many different total combinations are possible from the 14 games? Penny Nom lui répond. 





Number combinations 
20040910 

Angela pose la question : I need the number of possible number combinations, both 3 and 4 digit, from 059
I know that 09 has 10000 combinations for 4 digits
I also know that 09 has 1000 combinations for 3 digits
Perhaps you could explain an easier way to figure this out rather than writing all these numbers down?? Penny Nom lui répond. 





Safe cracker 
20040909 

Adam pose la question :
Franklin's friend had taken an item from him, and put it in his family's safe, when franklin went to retrieve it he came to a combination lock on the safe, with the dial numbers going from 0 to 59. Unfortunately, he wasn't sure whether there were three or four numbers in the combination, or even which direction to turn the wheel
If it takes him 15 seconds to try a single combination, how many days will it take him to to try every possible combination? Please round to the nearest day. Penny Nom lui répond. 





Four digits 
20040710 

Rob pose la question : I am always interested to know how the for digit works. I mean, you have correctly put it that the total numbers obtain from 0000 thru 9999 are 10,000. My question is, is there any simple formula to turn this simple 4 figures of say: 1234. Penny Nom lui répond. 





Choosing 5 numbers from 1,...,36 
20040630 

A lottery player? pose la question : how many combinations are there for the numbers 1thru 36 when only using each number once in groups of five Penny Nom lui répond. 





Three digit combinations 
20040127 

Kevin pose la question : how many 3 digit combinations can be made with 09. i have been told only 1,000. when i asked jeeves the response was 750 without using any digit twice. i have entered a raffle and received a ticket with 4 sets of 3 digit numbers. Penny Nom lui répond. 





Combinations of 12 numbers 
20040118 

Cheryl pose la question : I would like to know the total possible combinations using the numbers 112. We would also like to know the formula used to calculate the number of combinations. Harley Weston lui répond. 





Six letter words 
20040117 

Debora pose la question : An anthropologist discovers an isolated tribe whose written alphabet contains only six letters (call the letters A, B, C, D, E, and F). The tribe has a taboo against using the same letter twice in the same word. It's never done. If each different sequence of letters constitutes a different work in the language, what is the maximum number of six letter words that the language can employ? Penny Nom lui répond. 





Permutations and combinations 
20040111 

A student pose la question : Are there more permutations than combinations for a series of 4digit numbers with the integers 09? Can you illustrate calculations? Penny Nom lui répond. 





Four digit combinations 
20031231 

A student pose la question : i need all 4 digit combinations using 09 please Penny Nom lui répond. 





Four digit combinations 
20031202 

Deen pose la question :
Question:
i have 3 numbers and i have to come up with all the possible 4digit combinations with those 3 numbers. Is there a formula for it?
Example:
given numbers are 129 and you need to break a 4 digit code. what are the posiible combinations that u can come up using the 3 numbers?
Penny Nom lui répond. 





Arrangements around a circular table 
20031007 

Lori pose la question : How many arrangements can 6 people be seated round a circular table? Penny Nom lui répond. 





Four digit combinations 
20030904 

Emma pose la question : I seriously need to find out all the four digit combinations from 0 to 9!!! My name Is Emma Dibitt and I'm going into 8th grade and I'm a student!!! Penny Nom lui répond. 





The number of three digit combinations 
20030816 

Fred pose la question : There are four close friends having a heated discussion concerning the the number of three digit combinations using the numbers 0 through 9. The discussionÝinvolves the daily lottery.Ý Any assistance you can lend would be greatly appreciated. Penny Nom lui répond. 





Distributing r identical balls into n distinct boxes 
20030316 

Diana pose la question : How many ways to distribute r identical balls into n distinct boxes with exactly m boxes empty? Penny Nom lui répond. 





A question on combinations 
20030306 

Jose pose la question :
I'm an architect student and have a question on combinations. I have a grid of 3 x 3, hence a total of 9 spaces. I have 3 elements to place in this grid. How many possible ways are there of arranging this elements on this grid ? (order, orientation not important) First putting the elements each in its own space and secondly allowing the elements at a given moment to "share" one space. Since I got kind of obsessed with this I went ahead and graphically did all the combinations allowing "sharing", a grand total of 729. How could I have known this before hand ? Penny Nom and Claude Tardif lui répond. 





Mary typed a six digit number 
20030306 

Pillar pose la question : Mary typed a six digit number, but the two 1's did not show. What appeared instead was 2002. How many different sixdigit numbers could she have typed? Penny Nom lui répond. 





The number of possible outcomes with 8 games 
20030221 

Gianni pose la question : If 8 basketball games being played(no ties), which means a total of 16 teams, what are the total number of possible outcomes that can occur. Penny Nom lui répond. 





Combinations of 1,2,3,4,5 and 6 
20030201 

Kyle pose la question : Today I was aked a question by my geometry teacher. It was, what is the sum of all the possible combinations of the numbers 1, 2, 3, 4, 5, and 6. He said all the possible combinations were 720. I would like to know how u could do this, and what the answer is. Penny Nom lui répond. 





A penny, a nickel, a dime, a quarter, and a loonie 
20030121 

Blaine pose la question : I have 5 coins: a penny, a nickel, a dime, a quarter, and a loonie. How many different amounts of money could I pay using any combination of these coins? Penny Nom lui répond. 





ALL of the possible 3 digit combinations of 0  9 
20021209 

Melissa pose la question : I need to find out ALL of the possible 3 digit combinations of 0  9. Eg: 000,001,002,003. This is going to take me VERY LONG time. Any suggestions. Penny Nom lui répond. 





Combinations of 1,2,3,...,10 
20021127 

Gord pose la question : If I had the numbers from 110 how many different combinations would i have.....would it be 100....since that is 10 squared. Penny Nom lui répond. 





Social security numbers 
20020906 

Chris pose la question : How many different number combinations are there for the social security system? We know that there are only a certain ammount of combinations available and the current US population is at 281 million. The number system should include as many nine digit combinations as possible using the numbers 09 in multiple different spots. Penny Nom lui répond. 





Musical Scales 
20020724 

Terence pose la question : Given that there are 12 notes in a musical octave, what is the maximum number of musical scales possible within that octave, if each scale has a minimum of 5 notes and a maximum of 9 and we start all the scales from the same note? In case you don't know anything about music, a scale is a progression of notes where you start on a specific note and end on that same note an octave higher. There are twelve different notes between these two similar notes. Which notes you choose to play determine the sound of the scale. Anything less than five notes would not make for a very interesting scale. Anything more than nine and you would be playing almost 'every' note in the scale, not leaving much room for distinction in how you organize these notes. I assume you first have to figure out the maximum number of variations possible in a 5note scale (with 12 notes at your disposal). Then do the same for a 6note scale, then a 7note, then an 8note, and so on. Then add up the results. How to find this maximum number of variations for each scale size though is what I don't know. Leeanne Boehm lui répond. 





A popular television game show 
20020519 

Amrita pose la question : On a popular television game show, contestant must first answer a question by placing 4 given events in ascending or desending order in the quickest time. (a) if a contestant does not know how any of the events should be arranged, how many different ways could the question be answered?
Answer: 4!= 24 (b)a contestant has to arrange the events that correspond to A, B, C, and D. one contestant is positive that event D follows directly after avent B, but does not know about the other s. how many different ways could this contestant arrange the letters A, B, C, and D, list the possibility
Answer: which I didn't get Penny Nom lui répond. 





Thank you gifts 
20020515 

Navi pose la question : Children usually attend birthday parties where a thank you gift is given to the children who attent the party. a family likes to hand out books at thankyou gifts. (a) One child invited to the party is given 2 books as gift. if there was 15 different books to choose from, how many diffrent gifts were possible? Answeer: I did this way 15C2=105
(b) if the 15 books consisted of 8 nonfiction and 7 fiction, how many diffrent gifts were possible if at least 1 of 2 books were fiction? Penny Nom lui répond. 





A ski trip 
20020510 

Navi pose la question : A ski trip at the school has been arranged. there are 30 students that have paid for the trip and 6 parents that have volunteered to chaperone. to transport the students and parents easily, they are to be divided into two group. one group has 10 students and 2 parents, and the other group has 20 students and 4 parents. (a) How many different group of 10 students can be formed? ANSWER:
(b) How many different groups consistinmg of 10 students and 2 parents are possible? ANSWER:
(c) kelly is one of the students going on the ski trip, and kelly's mother volunteered to be one of the chaperones. kelly's mother would prefer to be in the smaller group and not in the same group as kelly. if this wish is honoured, how many ways can the smaller group and its chaperones be chosen? ANSWER: Harley Weston lui répond. 





Forming a committee 
20020506 

Navi pose la question : A committee is to be formed to investigate what activites teenagers have available in small communities. the committee is to have 7 members, chosen randomly form interested community members. there are 10 parents, 5 teenagers, and 4 adult without children who have all expressed an interest in serving on the committee. what is the probability that the adults without children are all on the committee? Andrei Volodin and Penny Nom lui répond. 





How many different account numbers are possible? 
20020418 

Andrene pose la question : how many different account numbers are possible if the account numbers consist of a letter of the alphabet, followed by five numerical digits, and followed by another letter. Penny Nom lui répond. 





Combinations? 
20020316 

Sara pose la question : A combination lock has three dials numbered 0  9. Give a mathematical reason why "combination" is a bad name for this type of lock. Penny Nom and Chris Fisher lui répond. 





Permutations and combinations 
20011203 

Linda pose la question : There are 12 people who can be chosen for a project. Q1. Suppose that 2 people refuse to work together. How many groups of 7 can be chosen to work on a project? Q2. Suppose that 2 people insist on working together or neither will work on the project. How many groups of 7 can be chosen to work on the project? Penny Nom lui répond. 





4 digit combinations 
20010922 

Laura pose la question : I need all of the 4 digit combinations using the numbers 09. Harley Weston lui répond. 





Your DJ Business 
20010530 

Linda pose la question : Your DJ Business has 6 rap, 10 rock, 6 alternative, 8 oldies, and 5 country CD singles. How many different 10song sets can the DJ play, if she plays 2 singles from each category? and How many different 10song sets if she plays exactly 3 rap singles and 4 rock singles in each set? Leeanne Boehm lui répond. 





A 6 character field 
20010516 

A parent pose la question : I have a 6 character field that can use any combination of alphanumeric characters (AZ, 09). How many total combinations are possible? Penny Nom lui répond. 





Choosing a car 
20010428 

Ashley pose la question : THE CAR DEALERSHIP IN TOWN OFFERS 32 DIFFERENT MODELS OF VIHICLES.EACH MODEL HAS A CHOICE OF EIGHT INTERIOR COLORS,EIGHT EXTERIOR COLORS,AND ALSO THE OPTION OF AUTOMATIC OR MANUAL TRANSMISSION. HOW MANY COMBINATIONS ARE POSSIBLE? Penny Nom and Andrei Volodin lui répond. 





How many 6 digit numeral combinations 
20010426 

Bryan pose la question : How many 6 digit numeral combinations are there If you can only use 6 digits (1, 2, 3, 4, 5, 6) and no number can be used twice in the Numeral! Claude Tardif lui répond. 





A combination lock 
20010405 

Ken pose la question : What is total number of combinations possible on a combination lock which contains 3 wheels each numbered 09? Penny Nom lui répond. 





Lotto 649 
20010227 

A student pose la question : I am a secondary student and I was wondering if there was a better way to find out how many combinations and what they are in the lotto 6/49 than writing them out on a piece of paper. Any help you can provide me with would be greatly appreciated. Penny Mon lui répond. 





Permutations vs. combinations 
20001120 

Ashleigh pose la question : How do you tell whether the problem is a permutation or a combination? Walter Whiteley lui répond. 





Permutations and Multiplication Principle 
20000922 

Candice pose la question : A forester selects 4 pink and 4 white dogwoods. The trees are to be planted in row. If a tree is distinguished by color only, in how many ways can the eight dogwoods be planted? How many of these arrangements have at least two trees of the same color side by side? Denis Hanson and Claude Tardif lui répond. 





4digit numbers using 7, 8, 9 and 0 
20000913 

Ryan pose la question : Could you please help me with the following problem, How many different 4digit numbers are there that use each of the digits 7,8,9,and 0? Please list them. Penny Nom lui répond. 





Cascade 
20000622 

Peter Bengtsson pose la question : Can you help me find an equation for this correlation? 2*1+1 3*2+0 4*2+2 5*3+0 6*3+3 7*4+0 8*4+4 9*5+0 10*5+5 This is the way scores are calculated when you play the game Cascade. The more number of balls you manage to "click away", the better score you get. So, I wrote down lots of results for different amount of balls I clicked away. Clicking away one pair (two adjacent) of balls means 3 points. Clicking away three adjacent balls means 6 points. etc. You can see this from the list above. What I now want to do is to find an equation with only ONE unknown! Y= kn*X+c or something. Whereby I only know X, I can find Y. Penny Nom lui répond. 





Odds and combinations 
20000510 

Lucy pose la question : If the odds are 1/15 of winning, what is the probability? if c 5! 3! How does it equal 10? Harley Weston lui répond. 





Question regarding Combinations and permutations 
20000419 

Paul Stoner pose la question : I am a programmer and I have a quick question. I have 5 criteria which will either be true or false. If a criterion is true it returns its ordinal representation, if false it returns 0. I then combine these results to determine where to go in my program. My question is: How can I figure out the number of combinations I will need? Patrick Maidorn lui répond. 





Ten stools 
20000206 

Haim pose la question : In a cafe with ten stools, three customers want to be seated, so that no two are next to each other. How many ways can this be done? Do not consider it to be a separate seating if two customers switch seats. Denis Hanson and Walter Whiteley lui répond. 





Scheduling Meetings 
19990625 

Beth Carver pose la question : We have 6 groups meeting at three different places simultaneously. The meetings take place once a month each year. Is there a way to have each group meet with each of the other groups at least twice in a year, four times in each place? Chris Fisher and Harley Weston lui répond. 





Triminoes 
19980909 

Roxanne Hale pose la question : I am doing an investigation about a game called triminoes (like dominoes). The game is played using triangular pieces of card. Each card has 3 numbers on it. I have to investigate the relationship between the number of trimino cards in a set and the largest number on the cards. I found; largest no. used 0 1 2 3 4 no. of trimino cards 1 4 10 20 35 I was ginen the formula for this which is: UN= UN  1 + 1/2 (n + 1 ) (n+2) UN=no. of trimino cards n= largest no. I don't know how to get to this equation I think it has something to do with triangle numbers! Penny Nom lui répond. 





Golf problem 
19980825 

Bob pose la question : Twelve golfers plan to play seven rounds of golf. Each would like to play as many rounds with different golfers as possible. What are the optimum combinations to accomplish that goal? Denis Hanson lui répond. 





Divisibility of 2n choose n. 
19960924 

Kathy Doan pose la question : Can you prove that "2n choose n" is not divisible by 3, 5, and 7 for infinitely many n? Penny Nom lui répond. 





How many possible combinations of answers are there? 
19960920 

David Bester pose la question : Suppose there is a 12 question test. Each question can be answered only by true or false. Assuming that all questions are answered (i.e. none are left blank), how many possible combinations of answers are there? And what formula was used to arrive at the answer? Denis Hanson lui répond. 

