Organizing A Tournament

You are organizing a soccer tournament. Each team plays against exactly 3 distinct teams.

In the U-18 group, you have 6 teams and you are required to make up a schedule. One possibility is:

1 vs 2, 1 vs 3, 1 vs 4, 2 vs 5, 2 vs 6, 3 vs 5, 3 vs 6, 4 vs 5 and 4 vs 6.

How many different schedules can you make?

  • The order in which a team plays it's game did not matter. What matters is the opponents a particular team played.
  • The teams are not identical.
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