Sports Organization

It is easy if there is only one sport and everyone plays against everyone else. The difficulty increases if there is not enough time for everyone to play each other. And the case becomes more complicated when several sports are played simultaneously.

In complicated cases it is advisable:

• That everyone plays the same number of times in each sport. This is essential for a fair ranking.
• That opponents are not repeated in the same sport.
• If possible, that there is variety of sport and opponent.

- With 4 teams, 6 matches are needed. - 5 teams: 10 matches. - 6 teams: 15 matches. - 7 teams: 21 matches. - 8 teams: 28 matches. - x teams: (x-1).x/2

1 sport (The dash indicates where the competition can be interrupted) . 4 teams: 12 34 - 13 24 - 14 23

. 6 teams: 12 34 56 - 13 25 46 - 14 26 35 - 16 45 23 - 15 36 24

. 7 teams: 16 27 53 64 31 42 75 - 14 36 25 47 51 62 73 - 34 56 71 23 45 67 12

. 8 teams: 12 47 56 38 - 34 16 78 25 - 23 58 67 14 - 45 27 18 36 - 13 28 57 46 - 24 35 68 17 - 15 26 37 48

2 sports (The larger space indicates where the competition can be interrupted)

4 teams