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permutations

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How many ways can you travel from A to D? 2021-07-02
shawn pose la question :
Hello, I am trying to solve a problem which is how many ways can you travel from A to D. A has 4 options b has 3, C and you get to D. How many ways are there?
Penny Nom lui répond.
Arranging buttons in a row 2020-08-24
Nick pose la question :
A sequence of 10 buttons can be arranged in a line. The buttons are identical except for colour, with each button being either red, blue or green.

Arranging buttons in a row How many sequences can be made where there are exactly 2 red buttons as part of the sequence of 10 buttons?

How many sequences can be made where there are exactly 4 red buttons as part of the sequence of 10 buttons?

Penny Nom lui répond.
Four digit numbers starting with 6 2020-04-22
Judy pose la question :
I need to generate a list of 4 digit numbers using 0-9 where the first digit is 6 and no numbers can be repeated
Penny Nom lui répond.
Four digit combinations from 1-3-4-8-0 2020-03-26
nancy pose la question :
Good evening. I'm in a quandry. Can you help? I would like to know what 4-digit combinations can be derived from 1-3-4-8-0 no repetitions
Penny Nom lui répond.
An inline lock with four rows 2019-06-05
Edward pose la question :
I have a inline lock with four rows of numbers 0-9.The numbers cannot be repeated. Can you please print the possible codes so I can go through them one at a time. The lock and the cable cost $300. Don't want to pitch it. You guys are lifesavers, can't wait to hear back. Thanks.
Penny Nom lui répond.
3 digits from 7 digits 2019-06-02
Corban pose la question :
HOW MANY COMBINATION ARE THERE USING 3 DIGITS NUMBERS ONLY 1-7
ie 137 731 317 456 654 123 321 248

Penny Nom lui répond.
Three letter permutations 2019-03-26
liliana pose la question :
I need to find a three letter permutation using four letters. I have no idea how to do this. Can you help me?
Penny Nom lui répond.
5 numbers from 9 numbers 2019-02-11
John pose la question :
How many combinations of 5 numbers be created with 9 numbers?
Sample: 1,4,7,9,12. Question the same with combination of 4 from 12?
Thanks, John

Penny Nom lui répond.
Taking 6 pills 2018-05-29
Dave pose la question :
My motives are simple, I want to get revenge on my brother who, unbeknown to me, repeatedly cheated when we played on-line Scrabble! Can you help? - he has posed this question knowing that I'll struggle to get the solution. Question: He is taking 6 pills a day, if he takes the pills in a different order each day, how long will it be before he takes the pills in the same order on the same date again? I think leap years might come in to it! Will I confess to using you guys? - I'll think about that one.
Penny Nom lui répond.
2-color combinations 2018-01-05
Sabrina pose la question :
How many 2-color (pair) combinations can be made from 12 individual colors... is it (11x12) or (optional): (11x12)x2?
Penny Nom lui répond.
Retiring athletes numbers 2017-12-18
Robin pose la question :
I am wondering if you can explain in layman terms how to figure out how many different ways the numbers 00-99 can be arranged? The discussion that sparked this question revolved around the practice of retiring athletes numbers and how many actual number combinations there are. So if I were to use 00, 01, 02 03, 04, 05, 06, 07, 08, 09, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ....99. I say there are only 109 different numbers. I'm being told I'm wrong that there are way more than that. Please help. Thank you, Robin
Penny Nom lui répond.
10 digit permutations 2017-11-24
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.
20 things taken 8 at a time 2016-05-30
Jessie pose la question :
I need all of the 8 digit combinations using the numbers 1-20.
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.
Arrangements of the letters STRANGE 2015-08-22
Ravi pose la question :
In how many ways can the letters of the word STRANGE be arranged to that the vowels occupy only the old places.
Penny Nom lui répond.
4 digit strings using the digits 1, 2, 3 and 4 2015-06-14
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.
Four digit phone numbers 2014-02-25
Tom pose la question :
Hi, I'm an online math teacher, working on lessons for my students.

This question is in their book and I can't do it...! Help!

It has to do with phone numbers, and in this problem, we are only dealing with the last 4 digits of the number.

It asks how many possible numbers we have if at least one digit repeats in the last 4 digits of the number.

Penny Nom lui répond.
Some 3-digit combinations 2014-02-23
ivana pose la question :
How many possible 3-digit 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.
6 digit permutations from {1-49} 2012-12-27
ange pose la question :
how many six digits numbers permutations can be formed with the set {1-49} if no digit is used twice in each permutation??
Penny Nom lui répond.
A 4 digit phone lock using the digits 4, 2, 3 and 0 2012-12-24
Ragu pose la question :
I would like to know formula for searching a combination of 4 digit. eg.

I knew my Phone Lock combination is my car plate number 4230. But this time, i used another way around instead of 4230.

But I am sure, there is only this 4 digits only. 4 & 2 & 3 & 0

Penny Nom lui répond.
A security code 2012-09-01
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.
6/49 2012-05-25
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 2012-03-06
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.
In how many ways can 12 members of volleyball team line up ... 2011-11-18
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.
Arrangements of ten letters 2011-04-15
Mustafa pose la question :
In how many ways can the ten letters of the word GELATINOUS be arranged in a line so that the vowels are in alphabetical order (not necessarily together) when read from left to right?
Penny Nom lui répond.
Is this a permutation or a combination? 2011-01-11
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.
Six numbers from 1 to 20 2010-05-10
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 2010-04-12
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 real-life 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.
A student wants to take four courses 2010-02-21
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.
Two digit numbers 2009-12-10
Jim pose la question :
Can you tell me how many 2 digit numbers can be created from the following:

1118539

Penny Nom lui répond.
Airline routes 2009-12-01
Kapilan pose la question :
Please answer the following question: From A to B there are four possible air routes. From B to C there are five possible air routes. From C to D there are three possible air routes. How many different trips can be taken from A to D and back without taking the same route on any section of the return trip?
Penny Nom lui répond.
Six-letter words 2009-11-24
christine pose la question :
How many six-letter 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 12 2009-11-14
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.
A three digit number 2009-09-04
Mark pose la question :
How many 3 digit positive integers are odd and do not contain the digit 5?
Penny Nom lui répond.
Arrangements 2009-08-20
Anna pose la question :
How many arrangements of FATHER can be made if all the vowels must be kept together?
Leeanne Boehm lui répond.
Rearrangements of 8028842 2009-07-17
Con pose la question :
How many different 7-digit numbers can be made by rearranging the digits in the number 8028842?
Penny Nom lui répond.
Passwords 2009-07-08
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.
All permutations of 1 - 5 2009-06-03
chris pose la question :
i need a list of 5 digit number combos using numbers 1-5
Penny Nom lui répond.
Combinations and permutations 2009-05-07
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 0-9 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 2009-04-30
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.
Possible combinations of 2 numbers between the range 1 and 50 2009-04-03
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.
Ranking 6 players from 49 2009-03-24
liz pose la question :
My daughter is having problems with this question,
if you had to match 6 players in the correct order for most popular outfielder from a pool of professional players numbered 1 through 49 , how many possibilities are there?

Penny Nom lui répond.
Trifecta 2009-03-09
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.
4 digit strings starting with 7 2009-03-03
Angel pose la question :
I need to no all the 4 digit combinations starting with 7 and with no repititions.
Penny Nom lui répond.
Three number combinations 2009-02-27
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.
Some 9 letter permutations 2009-02-24
Cecilia pose la question :
If the letters G, H, S are used exactly 3 times how many 9 letter combinations can be generated?
Penny Nom lui répond.
Seating 8 people in a row 2009-02-15
raymond pose la question :
In how many ways can 4 boys and 4 girls be seated in a row if they may sit anywhere
Penny Nom lui répond.
Seating around a circular table 2009-02-09
Jenny pose la question :
A committee of 15 -- 9 women and 6 men -- is to be seated at a circular table (with 15 seats). In how many ways can the seats be assigned so that no two men are seated next to each other?
Victoria West lui répond.
Four digit numbers using 1, 0, 2 and 8 2009-01-27
Mike pose la question :
How many combinations of this four digit number 1028 can this produce only using those numbers. Example would be 0000, 0001,0002,0008,0010,0011,0012,0018,etc...
Penny Nom lui répond.
5 "digit" combinations 2009-01-22
Timothy pose la question :
I was wondering how many different 5 digit combinations are possible using 0-9 and a-z and you can use the same letter or number repeatedly in the combination.
Penny Nom lui répond.
Permutations and combinations 2008-12-28
KHADIJA pose la question :
What's the difference between Permutation and Combination?
Penny Nom lui répond.
Choosing 5 numbers from 39 2008-08-04
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.
How many different ways can cards fall when shuffling? 2008-06-09
Twyla pose la question :
How many different ways can cards fall when shuffling? In other words, if you have 52 numbers, each one unique, how many different ways can they be arranged, using each number only once?
Penny Nom lui répond.
7, 6, 5, 4, 3 and 2 digit numbers 2008-02-10
Edward pose la question :
using the number 12345678 how many 7, 6,5,4,3 & 2 digit numbers can you make when not using any number twice in the same number
Penny Nom lui répond.
Permuting the letters in ELEVEN 2008-01-23
Beth pose la question :
(i) Find the number of distinct permutations that can be formed from all of the letters of the word ELEVEN.
(ii) How many of them begin and end with E?
(iii) How many of them have the 3 E's together?
(iv) How many begin with E and end with N?

Stephen La Rocque lui répond.
Five boys and two girls in a line 2008-01-12
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.
Re-arranging the alphabet 2007-08-18
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.
How many different orders are there? 2007-08-13
Ethel pose la question :
This is a question from the PTSP Success Test. There are 4 horses at a stable. And how many different orders can they be ridden by their owners? The answer choices are A. 4 B. 10 C. 16 D. 24 and E. 36
Harley Weston lui répond.
Permutations and combinations 2007-07-29
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.
Five button push lock 2007-07-06
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.
A push button lock 2007-05-21
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 0-9 2007-05-16
Christofer pose la question :
What are all the possible 8 digit combinations of 0-9? 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? 2007-05-10
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.
Permutations, probability and standard normals 2007-05-09
Katrina pose la question :
I have a few problems that i seem to be stuck on or can not start. Can you please help me ?
1) There are 20 people on an event planning committee. How many differnt ways can a chairperson and assistant to the chairperson be selected?
2) An unprepared student makes random guesses for 10 true or false questions on a quiz. Find the probability that the student passes the quiz by guessing 7 of the questions correctly.
3) The heights of 18 year old men are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. If a random sample of 25 18-year old men is selected what is the probability that the mean height is between 68.5 and 72 inches?

Penny Nom lui répond.
Four people in a car 2007-03-24
shannon pose la question :
If there are 4 people in a car and only 1 can drive how many possible ways the the people sit in the car?
Penny Nom lui répond.
Permutations 2007-03-11
Meghan pose la question :
Hello, I'm working on the beginning of the combinatorics unit in Math 12 in BC. We just looked at using the nPr or n!/(n-r)! formula.

My questions for homework that I didn't quite understand how to do were:

Solve each equation for n. 1) nP2 = 90
2) 6Pn = 720


I managed to do these in my head, but I'm not sure how to solve these algebraically.

Thanks for all your help! -Meghan

Penny Nom lui répond.
How many sequences are possible? 2006-10-28
Sam pose la question :
A fair eight-faced die with faces numbered 1,2,3,4,5,6,7 and 8 is tossed six times and the sequence of numbers is recorded. How many sequences are possible?
Penny Nom lui répond.
I have 4 numbers and want to find all possible combinations. 2006-09-05
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 2006-07-16
Alejandra pose la question :
I have a bike lock. It has three columns of the digets 1-9 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.
A 5 digit, push-button door 2006-06-20
George pose la question :
We have a 5 digit, push-button door look (1-5). How many combinations are possible without repeating a number in a 3 digit entry code?
Stephen La Rocque lui répond.
How many arrangements are there? 2006-04-16
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 2006-04-12
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.
Permutations and probability 2006-03-27
Alyssa pose la question :
I am a high school student, my teacher gave the class a worksheet on permutations and probability and told us to do independent work when we have not covered the material yet and he will not answer any questions. I am lost and don’t know where to begin. Can you help?

1. Find the number of 6-letter permutations of all the letters in EUCLID that end with either the letter E or the letter D?

Aluminum chips A, B. C, and D weigh 1g. 5g. 10g. and 20g. respectively. How many different masses can be measured by using one or more of the 4 weighs on a balance scale?

Stephen La Rocque lui répond.
Four digit numbers 2006-03-25
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 1-9
Stephen La Rocque lui répond.
Five digit numbers 2006-03-25
Tony pose la question :
Can someone tell me how many unique five digit numbers can be generated using 0-9?
Stephen La Rocque and Penny Nom lui répond.
A 4-digit Combination Lock 2006-03-09
Adam pose la question :
I have a 4-digit 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.
A combination lock 2005-10-03
A bicycle owner pose la question :
What are the number of permutations (Combinations?) of a combination lock of a cylinder with four separate movable rings. Each ring has the numbers from one to six (six "permutations" per ring).

This is a bicycle lock.

I was told that it is 62 (6x6x6x6) = 1296.

Is this correct?.


Penny Nom lui répond.
In how many ways can 12 different fruits be distributed 2005-06-13
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 2005-05-18
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.
How many three digit numbers can I make from the four cards 2005-03-12
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 seating arrangement 2005-02-03
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.
Visitor wins or home wins 2004-09-29
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.
Why the word combinations? 2004-05-05
Megan pose la question :
Why are locker combinations called locker combinations not locker permutations. The order of the numbers matter so why aren't they called locker permutations.
Claude Tardif and Penny Nom lui répond.
Combinations of 12 numbers 2004-01-18
Cheryl pose la question :
I would like to know the total possible combinations using the numbers 1-12. We would also like to know the formula used to calculate the number of combinations.
Harley Weston lui répond.
Permutations and combinations 2004-01-11
A student pose la question :
Are there more permutations than combinations for a series of 4-digit numbers with the integers 0-9? Can you illustrate calculations?
Penny Nom lui répond.
Arrangements around a circular table 2003-10-07
Lori pose la question :
How many arrangements can 6 people be seated round a circular table?
Penny Nom lui répond.
Mary typed a six digit number 2003-03-06
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 six-digit numbers could she have typed?
Penny Nom lui répond.
The number of possible outcomes with 8 games 2003-02-21
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 2003-02-01
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 2003-01-21
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 2002-12-09
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.
The horse race 2002-11-19
Pat pose la question :
The Horse Race Three horses run a race. In how many different ways can the three horses finish the race if ties are allowed?
Penny Nom lui répond.
How many empty seats are there? 2002-10-29
Ronnie pose la question :
Three new students arrived in class. Teacher says there are 210 ways you can set. How many empty seats are there in the classroom? After new student are assigned seats, how many empty seats will remain?
Penny Nom lui répond.
Designing a ballot 2002-04-26
Kelley pose la question :
I want to design a ballot for four elections. Actually all the candidate races are on 1 ballot. I need to know how many different ballot styles would be needed for all of the candidates to be in each rotation an equal number of times.

For example:

  • A,B,C & D are running for mayor

  • E,F,G & H are running for congress

  • I,J & K are running for senate

  • L,M & N are running for governor

They are all on the same ballot. But in each race their name (for instance A) has to be in the #1 rotation, #2 rotation, #3 rotation, and #4 rotation for his race on this ballot an equal number of times as B,C and D.

The same goes for the other candidates for their perspective races.

How many total ballot styles will there be?


Penny Nom lui répond.
How many different account numbers are possible? 2002-04-18
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? 2002-03-16
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 2001-12-03
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.
How many 6 digit numeral combinations 2001-04-26
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 2001-04-05
Ken pose la question :
What is total number of combinations possible on a combination lock which contains 3 wheels each numbered 0-9?
Penny Nom lui répond.
Four crayons 2001-01-10
Neyra Espinoza pose la question :
You have four crayons (red, blue, yellow, green). If you line them up, how many different combinations can you get?
Patrick Maidorn lui répond.
Permutations vs. combinations 2000-11-20
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 2000-09-22
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.
Circular Permutations 2000-09-18
J. Stuart pose la question :
I am able to understand the simple theory behind circular permutations (that is, there are (n-1)! ways to arrange n people in a circle. One question, however, is giving me some difficulty. It reads: In how many ways can four married couples be arranged around a circular table if each man must sit beside his wife? Any suggestions you have would be greatly appreaciated.
Penny Nom lui répond.
Question regarding Combinations and permutations 2000-04-19
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 2000-02-06
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.
Trolls and Gargoyles 1999-11-02
TexGrimm pose la question :
How can you seat 6 monsters - 3 Trolls and 3 Gargoyles- at a circular table if the trolls look alike and the gargoyles look alike? Does your formula work for 9 monsters - 4 trolls and 5 gargoyles?
Penny Nom lui répond.
Circular Permutations 1997-02-05
Ed Varjassy pose la question :
I have an understanding of simple problems involving circular permutations but do not understand them when they start to have restrictions. Is there any advice you can give for these more complicated permutations.
Penny Nom lui répond.
Divisibility of 2n choose n. 1996-09-24
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? 1996-09-20
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.
 
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