Math CentralQuandaries & Queries


Question from Pat:

16 golfers...3 nine hole rounds a day...for 4 days.
what are the best pairings for the fewest repeats of partners?


For 16 players, there is a schedule where every pair is together exactly once over 5 rounds. You can find it in the archives (search for golf 16). It does not matter if the rounds are 9 or 18 holes, provided the foursomes can rearrange after each round. The best you can do is use this schedule twice, and then any 2 rounds of it again. Every pair will have been together twice, and some will have been together three times.

For variety, renumber the players after the fist 5 rounds are complete, and then again after the next 5.


About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS