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 Question from Gerry: 16 golfers, 4 rounds - best pairings so that everyone plays with each other at least once.

Hi Gerry,

If you are one of the golfers then on each round you play with 3 other golfers. Thus in the 4 rounds you play with at most $3 \times 4 = 12$ other golfers. Hence in the 4 rounds you can't play with each of the 15 others in your group.

If you have 5 rounds you can achieve what you want. For 4 rounds take the schedule given and delete one of the days. That's the best you can do.

Harley

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.