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24 January, 02:06

Eight members of a chess club are having a tournament. In the first round every player will play a chess game against every other player. How many games will be in the first tournament

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  1. 24 January, 02:26
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    Same as handshake problem.

    Each of n persons plays against n-1 persons for a total of n (n-1) / 2 games.

    The division by 2 is necessary to avoid double counting the game A vs B and B vs A.

    For n=8, then number of games played in the first round is 8 (8-1) / 2=28 games.
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