Math CentralQuandaries & Queries


Question from David:

I have 11 golfers going on a golf trip for 4 rounds of golf. I want to make sure that everyone gets a chance to play with everyone at least once but not more than twice.
Also, as we are n = 11, we will be composed of 3-4-4 everyday. I am trying to ensure that as few as people as possible play in the group of 3 (golf seems to be more enjoyable for whatever reason in foursomes). i have tried 3 differemt times and can seem to figure it out. Can you assist?


Unfortunately the software we use sometimes does not handle the extra constraint of minimizing the number of time a player is in the threesome (yet). I suggest using 4 days from this schedule: (say 2, 3, 4 and one other) and deleting player 12 from the group he is in.


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