







Scheduling a social curling league 
20151020 

Tyler pose la question : I'm scheduling a social curling league where all skips will play with all thirds, all seconds, all leads. And all thirds will do the same and so on. We have 6 teams of 4 and will be doing 6 rotations. Is it possible that all skips will play with all other players from other positions without anyone doubling up?
My initial thoughts were (1,1,1,1) (2,2,2,2) (3,3,3,3) (4,4,4,4)(5,5,5,5)(6,6,6,6)... then rotate the thirds up and seconds down but don't know what to do with the leads and even with just 3 positions there's doubling (1,2,6,x)(2,3,5,x)(3,4,4,x)...4s have doubled (4,5,3,x)(5,6,2,x)(6,1,6,x) as you can see I'm having problems
If you could let me know if this is even possible it would be greatly appreciated Victoria West lui répond. 





Six teams playing five games 
20151018 

Aidan pose la question : I have six teams that will be playing five games.
I want each team to play each game once and each team to play each other team once.
Is this possible or should I add an extra round and let some teams play each other twice? Victoria West lui répond. 





Squash scheduling 
20151001 

Ed pose la question : I have 5 teams and 2 courts. Every Thursday we play at four different times (6,7,8,9 o clock)
Each team will play each other 5 times over 25 weeks.
Everyone should get to play evenly at the best time (6:00) and the worst time (9:00) Victoria West lui répond. 





Scheduling for a bridge club 
20150909 

margot pose la question : Can you help me with scheduling our bridge club?
8 rounds are played with four teams together.
There are 16 teams in total, so our schedule should look like eight 4x4 boxes.
(Each round the four teams play each other over the course of the evening) Victoria West lui répond. 





Rotating speakers through a 10 week schedule 
20150803 

Timothy pose la question : I want 15 students to speak 7 times each over the course of 10 weeks.
They each will have 5 minutes.
Thanks Victoria West lui répond. 





Scheduling meetings with pairs of people 
20150122 

Jacey pose la question : I am trying to figure out a formula/system to pair up a list of people so they meet with each other every month, but they rotate who they meet with. Right now I have 13 people and I would like to just type in their names and then have the system put each person with someone else every month and rotate so no one gets the same person twice. Can this be done? Victoria West lui répond. 





Scheduling 12 for lunch 
20150105 

Sabrina pose la question : I have 12 staff members that need to have lunch together 1 time each week. I am trying to pair them in a way that we each have the same amount of lunches in the same amount of weeks. Please Help! Thanks! Victoria West lui répond. 





Meetings for 77 students 
20140918 

Adam pose la question : We have a new group of students starting, and would like to set up a series of small group meetings so each student meets each other, hopefully without meeting the same people twice.
We have 77 students. In theory I would like to have 11 meeting slots, with 10 groups in each slot, with up to 8 students in each group. Is there a way to do this?
I have wondered if it might be easier to do 9 meeting slots, with 9 groups per slot, with 9 students per group.
Thanks! Victoria West lui répond. 





A rotating schedule for 9 individuals 
20140529 

Josh pose la question : I need to set up a rotating schedule for 9 individuals.
The individuals will be pairing each week in groups of two.
Thus, every week there will be 4 groups of two individuals and one individual not paired with anyone (i.e. a "bye week").
The rotating schedule should not repeat any pairing and it will continue until each individual has been paired with every other individual once.
Thank you Victoria West lui répond. 





Two 9 hole golf leagues 
20140423 

Sally pose la question : I need help scheduling two 9 hole leagues. Here are the variables:
 Leagues alternate each week starting on the front and back
 League A starts at 4:30 with 7 groups and League B starts at 5:15 with 8 groups (all use carts and must be teed off by 5:30)
 Regular play must continue, customers who have started before league play begins have preference to continue their round whether they are playing 9 or 18 holes.
Thank you!!! Victoria West lui répond. 





Scheduling 10 people for 5 rounds 
20131120 

Keith pose la question : Using golf as an example, I would like to schedule 10 people for 5 rounds with 2 groups of 4 and 1 twosome each round. I would like to minimze the number of times any one player plays with another. Can you provide an optimal schedule? Thank you for your help. Victoria West lui répond. 





10 guys playing 89 hole rounds 
20130719 

Jason pose la question : I have 10 guys playing 8 9 hole matchplay rounds. I need to have everybody play the other 9 men, but need to limit them to only a 9 hole match between them. If we need to go 334 or 244 for a better solution, that may be possible. Victoria West lui répond. 





Scheduling a 12 person fishing 
20130709 

Don pose la question : Greetings Math Central!
I searched the index, but could not find a similar quandary.
Here's my predicament:
I am seeking help in scheduling a 12 person fishing outing.
We have four boats.
I would like to schedule three fishermen to a boat.
We fish 2 1/2 days, split into morning and afternoon sessions.
Thursday afternoon, Friday morning, Friday afternoon, Saturday morning, and
Saturday afternoon
We switch boats after lunch, with each fisherman moving to a different boat,
with different partners.
I would like to have each fisherman fish with as many others in the group as
possible, with a minimum of partner duplication.
I would like to have each fisherman fish in all of the four different boats
over the course of the trip at least once.
Would you please suggest a boat / fishing partner schedule that fits my
parameters as closely as possible.
Thank you!
Don Victoria West lui répond. 





Five players in a 4player partnership game 
20130319 

Dee pose la question : I have 5 players who are playing in a 4player partnership game & want to rotate the 5th person in in such a way that each person is each other person's partner for a game. How can such a rotation be done? Penny Nom lui répond. 





We have 10 golfers and four rounds of golf in two days 
20130205 

Steve pose la question : We are having a golf tournament. We have 10 golfers and four rounds of golf in two days. We are going to break the group of 10 into two flights. Flight A and Flight B. We would like all members in Flight A to play one nine hole match against each other. All players in Flight B to play one nine hole match against each other. Could we play in groups of 4,3 and 3? What is the best way to make the pairings work? Robert Dawson lui répond. 





We have 2 teams of 6 couples each that play 6 games 
20130125 

Denise pose la question : We put together a game night where we have 2 teams of 6 couples each that play 6 games. We haven't been able to figure out an arrangement that allows each couple to play each game with a different couple from the opposite team (i.e. Team A couples play every game with a different couple from Team B). Is this possible? It works with 2 teams of 5 couples each. Chris Fisher lui répond. 





12 golfers, 4 rounds 
20120829 

Paul pose la question : We have 12 golfers who will play four rounds of golf  how can we organize the foursomes so that each player has the most exposure to the other 11 players? Victoria West lui répond. 





16 golfers 
20120420 

steve pose la question : i have 16 golfers, 4 in "A" flight , 4 in "B" flight , 4 in "C" and 4 in "D"
We are playing 4 rounds (4 teams of 4) and every group must have a player from the A B C an D
flight, and in no round may 2 people have already played together! Victoria West lui répond. 





Golf for 12 
20120418 

Brent pose la question : I have a golf group that is set up as follows: 12 players, broken into
2 teams of 6. I am looking for a formula to have one player from team A
play against one player for team B each round, not repeat the match, and
ride with as little duplication as possible. I know that it is not statistically
possible with these numbers and will have at least one round that has
duplication. Robert Dawson lui répond. 





Golf for 28 
20120410 

EARL pose la question : HI, I HAVE 28 GOLFERS AND I NEED A SCHEDULE FOR
5 DIFFERENT DAYS THERE WILL BE 7 GROUPS OF
4 PLAYERS EACH DAY. ALL PLAYERS WOULD LIKE TO
PLAY WITH ONE ANOTHER ONCE AND NOT PLAY
WITH EACH MORE THAN ONCE IF POSSIBLE OR LIMIT
THE TIMES A GOLFER PLAYS WITH ANOTHER TO A
MINIMUM IF POSSIBLE. (PLEASE SEND AN EXAMPLE
OF THE SCHEDULING OF THE GROUPS FOR THE TEE
OFF ORDER)
THANKS FOR ANY SOLUTIONS YOU CAN PROVIDE.
EARL Robert Dawson lui répond. 





Golf for 17 
20120329 

Richard pose la question : Hi Guys,
I have a scheduling problem which I don't think you have covered before.
Apologies if you have!
I have 17 golfers due to play 4 rounds of golf.
Each round will consist of 3 threeballs and 2 fourballs (ie. 17 golfers in 5 groups)!
Is it possible to come up with a schedule where each golfer plays
with different partners in each round? Robert Dawson lui répond. 





36 golfers 
20120215 

Steve pose la question : We will have 36 golfers playing 4 rounds of golf and would like to have different foursomes each round. In other words, no player will play with another more than once. Harley Weston lui répond. 





Golf for 12 
20110707 

Jim pose la question : I have a golf trip scheduled with a total of 12 guys. We are playing
three rounds of golf. For round 1 Players A B C D must play together.
Is there a formula that would allow me to set up the other 8 foursomes
with no repeats or minimal repeats?
Thanks. Victoria West lui répond. 





A sports schedule for the ymca 
20100108 

Erich pose la question : i have to make a sports schedule for the ymca. i have 7 teams. they need to play each other 2 times. we have 3 time slots per night. i would like them to have an even number of time slots thru the season. one team must have abye each week. can you chow mw the schedul. example time 1 team 1 vs. team 2. time 2 team 3 vs. team 4 time 3 team 5 vs. team 6. team 7 bye week 1. Victoria West lui répond. 





A networking event 
20100107 

Tricia pose la question : I have 70 people to go around to 10 tables with 7 at each table. only 6 from each table will rotate each time. There is 1 table monitor that always stays at same table. How do I make the rotation so everyone moves and gets to see all 70 people at the networking event? Robert Dawson lui répond. 





24 golfers, 6 days 
20091003 

patrick pose la question : i need a pairing schedule for 24 golfers for six days playing in foursomes. Please Victoria West lui répond. 





24 golfers: 4 days 
20090921 

Steven pose la question : We have 24 golfers (6 A's, 6 B's, 6 C's & 6 D's) playing 4 days.
Each day a foursome consist of an A, a B, a C & a D player.
Can you give me a pairing list so that no two golfers will play on the same foursome for the 4 days? Chris Fisher and Victoria West lui répond. 





A golf league with 12 players 
20090717 

Jane pose la question : My weekly golf league has 12 players in 4 threesomes.
How many weeks would it take to play everyone once and not have too many
duplications? What would be the schedule each week?
Thanks Victoria West lui répond. 





24 golfers playing golf for 9 rounds 
20081223 

Duane pose la question : Got 24 golfers playing golf for 9 rounds. Any formula where everyone can play with everyone else at least once. We are playing 4somes only. Thanks, Duane Victoria West lui répond. 





A dinner club schedule 
20071012 

irv pose la question : The problem is that I have 12 couples, 1 through 12,
in a dinner club, and each couple is host once with 3 of the other couples.
he dinners will take place over 4 months. I am trying to not repeat any of
the couples. We had the formula for 16 and 20 couples but not for 12.
Are you able to help with the groupings for 12. Thanks very much.
Irv Victoria West lui répond. 





Twenty golfers 
20060508 

Mona pose la question : We have twenty golfers and four rounds of golf. We would like to figure out how to make foursomes so that each golfer plays with as many different golfers as possible. Penny Nom lui répond. 





My fantasy football league 
20050816 

Jim pose la question : I have to make a schedule for my fantasy football league. There are 10 teams in the league and we play a 13 week season. The challenge is we want to play each team only once during the first 10 weeks. This way no team will play another team twice without having played each team at least once. Is this possible? Penny Nom lui répond. 





A golf outing for 16 golfers 
20050805 

Bob pose la question : I have a golf outing fast approaching and I’m having a problem matching the golfers so that everyone plays a round of golf with every other golfer in the group.
My problem is this: I have 16 golfers playing 5 rounds of golf. I would like a different foursome for every round of golf, that is each round (5 total) an individual is playing with 3 other players he hasn’t played with as of yet. Can you crunch the numbers and get back to me?
The way I see it, we have 20 combinations (5 rounds x 4 golfers) with numbers 1 thru 16. Chris Fisher lui répond. 





A wrestling schedule 
20050308 

Ed pose la question : Hello my name is Ed and I am a couch of a wrestling team in New Jersey. I was doing searches for formulas on how to make a matrix for team sports and it seems to be hard to find. I came some how to your site and thought I'll give it a try. Here is what we need or are trying. Claude Tardif lui répond. 





20 Golfers 
20041026 

Ian pose la question : I have 20 golfers playing over 6 days I would like to schedule all 20 golfers in 5 groups of 4 on each day here is the catch.... I would like each player to play with each other once during the 6 days. Chris Fisher lui répond. 





A schedule for 6 teams 
20040910 

Greg pose la question : I have a schedule I need to make of 6 teams. They must play each other once however no team can be the away team twice in a row. There must be 3 home games and 3 away games for each team. Penny Nom lui répond. 





A 6 team schedule 
20030831 

A scheduler pose la question : I saw that someone put on your web site a team schedule and you helped them figure it out.Ý I have 6 teams that want to play each other once, and believe it or not, I cannot figure it out. Penny Nom lui répond. 





A golf tournament 
20030823 

Dale pose la question : I am running a golf tournament with twelve golfers. We will be playing four rounds of golf. I don't want to schedule the same two players together more than twice (if possible). How would I make a schedule that each player would play at least once with every other player? I would appreciate any help that you can give me. Denis Hanson lui répond. 





12 pairs playing bridge 
20011109 

Diana pose la question : I have 12 pairs playing bridge against one another for 12 games. I need to have each pair partnered with another pair  but only once. I'm looking for a schedule for play for all 12 games. They should only be able to play against another team only once also. (ex: 1/2 v 3/4 then 4/2 v 3/1) Thank you for this opportunity to solve my dilemma. Claude Tardif lui répond. 





Scheduling a golf vacation 
20001205 

Michael pose la question : I'm having a problem scheduling matches for a golf vacation. We have 12 people playing 7 rounds of golf in 7 days. We play 2 man teams vs. 2 man teams everyday.Is there a formula so that you play WITH a different partner everyday and AGAINST as many different people as possible? Thank You for any help you may be. Penny Nom 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. 





Golf Problem  The Sequel 
19981113 

Bob pose la question : Sixteen golfers, seven rounds. What are optimum combinations for each golfer to play with as many different golfers as possible? Many thanks, Bob Payson Denis Hanson lui répond. 





Mathematics of Schedules 
19970116 

Byron Krull pose la question : I was asked if there was a mathematical method to work with schedules. The problem is this. There are 24 teams playing weekly on 4 sheets at 3 different times of the day as follows... Denis Hanson lui répond. 

