My neighbor runs a basketball league and asked me (a computer programmer) to generate a list of match ups for him. I readily accepted, but it's turning out harder than I thought.
Is it really possible to have 17 teams each play 14 games such that they don't play each other twice?
I am beginning to suspect that it's not possible - for instance, I've proven by trial and error that you can't get 5 teams to play 3 games.
Is there a general formula I can use to determine whether a given number of teams can play a given number of games w/o playing each other twice?