In a round-robin tennis tournament, every player meets every other player exactly once. How many players can participate in a tournament of 78 matches?
A)26
B)14
C)13
D)78
E)12

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 78 gives us the equation n(n-1)/2 = 78. Solving for n, we find that n = 13.

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