Math CentralQuandaries & Queries


Question from Dewey, a parent:

Any help would be appreciated.

I have 15 golfers playing 3 rounds of golf. We will be playing in fivesomes. Any formula that has everyone playing with a different person each round?

Thank you.

Unfortunately, it cannot be done. Suppose in the first round the fivesomes are


In the second round, A cannot play with B,C,D, or E. But then his fivesome must contain at least two of {a,b,c,d,e} or at least two of {1,2,3,4,5}. Thus even the second round will have some pair together again.


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