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?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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