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| Math Central | Quandaries & Queries |
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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. |
Giovanni,
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!
--Victoria
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