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How Do I Calculate How Many Games in a Round Robin?

A round-robin schedule is a common format for leagues and preliminary rounds of tournaments because it allows each team to play every other team. If you want to schedule a round-robin tournament or league, you need to know how many games the league requires for scheduling purposes. The more teams in the league, the larger the number of games that will have to be played.

Things You'll Need

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Instructions

    • 1

      Calculate the factorial of the number of teams in the round-robin schedule. Factorial equals the number multiplied by each integer less than that number. Five factorial equals 5 times 4 times 3 times 2 times 1. For example, if you have five teams, calculate five factorial to be 120.

    • 2

      Subtract 2 from the number of teams in the round-robin schedule. In this example, subtract 2 from 5 to get 3.

    • 3

      Calculate the factorial of the Step 2 result and multiply by 2. In this example, calculate 3 factorial to be 6 and multiply 6 by 2 to get 12.

    • 4

      Divide the Step 1 result by the Step 3 result to find the number of games in the round-robin schedule. In this example, divide 120 by 12 to find you would need to play 10 games to have each team play each other once in a five-team pool.

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