I am putting together a matrix for tennis tournaments. I have two groups of 16 players, one half men and one half women as adjacent groups. I want to see how many different mixed doubles formats I can put together. This would be eight courts of mixed doubles and at least 3 rounds where no two people are on the same court.
The format would be
A+1 VS B+2 and so on so all courts are filled.
I also need this same answer for matrixes with all multiples of four....12,16,20,24 up to 52.
I am trying to set up a software program driven by formulas.