SOLUTION: At a tennis tournament, each player played each other player one time. At the end of the tournament, 28 matches had been played. How many players were in the tournament?

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Question 1164051: At a tennis tournament, each player played each
other player one time. At the end of the
tournament, 28 matches had been played. How
many players were in the tournament?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

If "n" is the number of players, then the number of plays is  %28n%2A%28n-1%29%29%2F2.


You are given

    %28n%2A%28n-1%29%29%2F2 = 28


From this equation,


    n*(n-1) = 2*28 = 56

    n*(n-1) = 8*7

    n = 8.    ANSWER

Solved.