Question

    In a tennis tournament, each player played one game with

    all the other players. How many players participated in the tournament if they played 300 games in all?
    A 24 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 32 Correct Answer Incorrect Answer
    E 40 Correct Answer Incorrect Answer

    Solution

    According to the question, n C2 = 300, where n is the number of players (n(n - 1))/2 = 300 n2- n - 600 = 0 n2-25n + 24n - 600 = 0 n(n - 25) + 24(n - 25) = 0 (n - 25)(n + 24) n = 25

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