Math CentralQuandaries & Queries


Question from Judy:

We have a group of 15 golfers that play a scramble with groups of 3. The problem is we play for 14 weeks. We want every
player to play at least once with everyone and no more that 3 times. I am working on this and have just about accomplished
the schedule, but with a few playing more than 3 times. I'm sure there must be some mathematical calculation to do this but I
have yet to figure it out.


Your question is equivalent to "Kirkman's Schoolgirls Problem", which was posed and solved by Kirkman in 1847. For a solution, see


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