queen gulch
Hey everyone. I'm trying to set up a tournament where a group of 25 players have to play games in 2-player, 3-player and 4-player formats. Ideally I want each person to face off with each other person exactly once in each format, so each will play 24x 2p, 12x 3p and 8x 4p. I've called each player letters A-Y and have had no problems setting up a list of 300 2p matches which means each player plays each other exactly once. I'm really struggling coming up with 3p and 4p combinations which would give each player the right number of games, and encountering each other opponent exactly once. Please can anyone help?
As an added restriction, if possible, I'd like each combination of 3-players matched together in the 3p games not to appear together in the 4p games. So for example if A vs B vs C is a 3p game, A vs B vs C vs another would be excluded from being a possible 4p game.
stone crag