11 golfers going on a golf trip for 4 rounds

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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?

David,

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: http://mathcentral.uregina.ca/QQ/database/QQ.09.11/h/bram1.html (say 2, 3, 4 and one other) and deleting player 12 from the group he is in.

—Victoria







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