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| Math Central | Quandaries & Queries |
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Question from Cosmo: wanting to set up a golf league with 2 man teams. There are 14 A players and 14 B players.We want each A player to team with each B player once and each A player to play against each other A player once.Is this possible |
Cosmo,
I am assuming that there are foursomes consisting of two A players and two B players. In that case, it would take 13 rounds for a particular A player to play once against each other A player as there are 13 opponents for each player. It would take 14 rounds to team with each B player once as there are 14 possible partners for each player.
Under these assumptions what you want is not possible. Perhaps there is a way to vary the set-up some?
Victoria
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