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| Math Central | Quandaries & Queries |
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Question from Scott: I'm leading a golf trip with 7 guys, and we're playing 5 rounds of golf together with a threesome and a foursome at each course.. I want to set up a schedule where each person plays at least two rounds with each of the other 6 guys. Is that possible? I can't seem to find the right combinations. Thanks for your help! |
Scott,
I wrote a program that looks at all of the possible schedules and comes up with one that's "most balanced". Here it is what it found. The positions are the players and the numbers are the group they are in. A flaw is that the first player is always in the foursome. You can maybe change that without wrecking everything by eyeballing it.
Day 1 : (0, 0, 1, 1, 0, 0, 1)
Day 2 : (0, 1, 0, 1, 0, 1, 0)
Day 3 : (0, 1, 1, 0, 1, 0, 0)
Day 4 : (0, 0, 0, 1, 1, 0, 1)
Day 5 : (0, 0, 0, 0, 1, 1, 1)
Hope this helps.
--Victoria
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