Math CentralQuandaries & Queries


Question from Gerry, a parent:

16 golfers and 8 rounds. To have each player play with as many others as possible.


There is a schedule in the archive that shows how each player can play with each other player exactly once over five days of four foursomes. Go to the Quandaries and Queries page and search for the term golf 16.

If there are a total of eight rounds, just use the first eight rounds of that schedule. That is, use the rounds in days one and two. It is the best one can do. Every player will see six others.

If there are eight rounds per player, then use the first five rounds of that schedule, renumber the players randomly, and use the first three days again. Some pairs will see each other once, and other pairs will see each other twice. Again, it is the best possible.

Enjoy the golf!

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