math: Am I right?

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How many games are played in a women’s soccer conference
if there are eight teams and all teams play each other twice?

(8*7)*2= 56*2=112 games

  • math: Am I right? -

    no,
    number of games in one round = C(8,2) = 28
    so for two rounds that would be 56

    When you take 8*7 that would include cases such as
    teamA vs Team B and Team B vs Team A, but that is the same game and in your first 8*7 or 56 games you have 28 such pairs.
    So you must divide by 2.

    In other words, you have taken the order into play, but this is not a permutation, but rather a combination.

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