A happy new year problem for math
funsters.
Tennis -- Mixed Doubles Round Robin
5 courts in play
10 men(M), 10
women(W) (say the players are numbered 1-20, the men being odd and the women
even)
All matches are M/W vs M/W
No person partners any person more than
once.
No person opposes any person (M or W) more than once.
I have a solution for 5 rounds (25 matches) obeying
the above requirements. Is it possible to do more rounds? What is
the general limit for 2m men and 2m women playing mixed doubles?
Happy puzzling, Dick Hess