Math CentralQuandaries & Queries


Question from Giovanni, a parent:

Hello, I try to make a league schedule for 6 hockey team. Each team will play 36 games during the regular season.
I cannot find a proper schedule generator. Can you help me please?
Thank you


I can, but it can not be a balanced schedule. Each team has 5 possible opponents, and so each will play 4 of them seven times, and one of them eight times.

Here are the first 5 weeks:

Week Schedule
1 5-6, 1-4, 2-3
2 1-6, 2-5, 3-4
3 2-6, 3-1, 4-5
4 3-6, 4-2, 5-1
5 4-5, 5-3, 1-2

You could use this schedule over and over, until 35 weeks have elapsed, and then add week 36 any way you want. What I suggest doing as well is numbering the teams 1,2,3,4,5,6 for the first 5 weeks, and then changing their numbers after every 5 weeks have expired (so the teams could be numbered 6, 4, 5, 1, 3, 2, in the second 5 weeks; it will give a different set of games but the same overall outcome).

I'll leave it to you to assign home and away. Good luck!

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