In a round-robin tennis tournament, every player meets every other player exactly once. How many players can participate in a tournament of 55 matches?
A)22
B)11
C)10
D)14
E)55

Question

Quizplus · Accepted Answer

In a round-robin tournament with n players, each player plays against every other player exactly once. This results in a total of n(n-1)/2 matches. Setting this equal to 55 gives us the equation n(n-1)/2 = 55. Solving for n, we find that n = 11.

In a Round-Robin Tennis Tournament, Every Player Meets Every Other