Paul Jensen wrote in message <firstname.lastname@example.org>... >Someone says it is possible to have no double match-ups in a nine-day, >14-team league. I say it is possible in theory, but I do not see a solution, >or the "statistical chart" the other guys speaks of. > >A round robin will work for seven days, after then, what? How do I >manipulate the round robin into having additional match-ups that have not >already taken place? Or is there a better statistical format?
There is actually a way to do this for 13 days. Here's one way. On the kth day, pair teams a and b if a+b = k (mod 13), a<14, b<14. Team 14 is then paired with the team a which satisfies 2*a = k (mod 13). This is a general formula which works for an arbitrary number of teams.