SEARCH HOME
Math CentralQuandaries & Queries

search

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

Pat,

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 http://www.maa.org/editorial/mathgames/mathgames_08_14_07.html. To find more like this, use google and search for "The social golfer problem".

Have fun,
--Victoria

About Math Central
 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS