Beer Olympics - 5 Teams

[talkto54]

Hi! I'm looking for a way to schedule a Beer Olympics for 5 teams. Each team must play each game and each opponent. However it's okay if teams have to play the same game or same opponent twice as long as its the same for everyone. It's also okay to have a "Bye Game."

Ideally the schedule will have 6-8 games (7 being ideal), 5 teams, and up to 10 rounds, with all of the variables being flexible except the 5 team requirement.

Any help trying to figure this out would be greatly appreciated!

[Ian Wakeling]

There really is no good solution here as you have to compromise on something.  I can offer the schedule below, where the compromise is that team 2 competes in 8 matches, while the other teams only have 7 matches each, but the schedule does have teams play each game once or twice, and all opponents once or twice.

    G1    G2    G3    G4    G5    G6
R1 (1 4) (2 3) (- -) (- -) (- -) (- -)
R2 (- -) (- -) (3 5) (1 2) (- -) (- -)
R3 (- -) (- -) (- -) (- -) (2 4) (1 5)
R4 (- -) (4 5) (- -) (- -) (1 3) (- -)
R5 (2 5) (- -) (- -) (3 4) (- -) (- -)
R6 (- -) (- -) (1 4) (- -) (- -) (2 3)
R7 (3 5) (1 2) (- -) (- -) (- -) (- -)
R8 (- -) (- -) (2 4) (1 5) (- -) (- -)
R9 (- -) (- -) (- -) (- -) (2 5) (3 4)

I thought about having 7 games, but then the best number of rounds would be 14 which is well over your limit of 10.

[talkto54]

THANK YOU!!!