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| Math Central | Quandaries & Queries |
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Question from Daniela: Hello, My husband and I are volunteering at our church's Jrs camp and we were given the task of making the schedule for sports. There will be 6 teams and a total of 3 games for two days. We would like for every team to play each other but we cannot figure it out. Thanks. |
Daniela,
Maybe I misunderstand. If there are 6 teams, then 5 games for each team (and 15 games in all) are required for each team to play every other team once.
With three games per team the best you can do is this:
Round 1: 1v6, 2v5, 3v4
Round 2: 1v2, 3v6, 4v5
Round 3: 2v3, 1v4, 5v6.
Hope this is what you want.
—Victoria
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