How many games in a round robin? Calculator.

How many games are in a round robin?

In a round robin every team plays every other team. With n teams each of the n teams plays n − 1 opponents, and each game involves two teams, so the total is n(n − 1)/2. A double round robin, where each pair meets twice, has n(n − 1) games.

Rounds. If the number of teams is even, all teams can play at once, so there are n − 1 rounds of n/2 games. If it is odd, one team must sit out each round, giving n rounds of (n − 1)/2 games.

Worked example. 8 teams: 8 × 7 / 2 = 28 games over 7 rounds of 4 games, and each team plays 7. 7 teams: 7 × 6 / 2 = 21 games over 7 rounds of 3 games, each team plays 6 and has one bye. 10 teams double: 90 games over 18 rounds. Need the actual fixtures? Use the round robin schedule generator.

The number of games grows with the square of the field, which is why large round robins are usually split into pools first.