Math CentralQuandaries & Queries


Question from Pat:

My problem is I have nine players three rounds of golf, please could you give me the best formula so that no two players play twice together


If you play in three threes, then there is a formula where every pair plays together exactly once over four rounds. If you only play three of those, then some pairs won't play together, but nobody plays together twice. The groupings for the four days are ABC DEF GHI, AHF DBI GEC, ADG BEH CFI, AEI BFG CDG. This schedule, and others, are online at To find more like this, use google and search for "The social golfer problem".

Have fun,

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