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| Math Central | Quandaries & Queries |
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Question from James, a teacher: Hello, I would like to put together a season schedule for 9 teams with each team playing three or 4 games leading to a 1 to 9 ranking. |
James,
If every team plays every other team, then it is guaranteed that such a ranking exists. The trouble is that there can be more than one possibility. If there are teams that don't play each other, then there is no guarantee that such a ranking exists. Imagine, for example, two teams that played exactly the same opponents and beat them by identical scores,but did not play each other. Which of those would come first?
Victoria
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