Solve the problem.
-Suppose a tournament has 15 participants. In how many different ways can the 15 players be paired to play in the first round of the tournament? Assume that each player can play any other player
Without regard to seeding.
A) 30
B) 105
C) 225
D) 210

Question

Quizplus · Accepted Answer

The number of ways to pair 15 players in the first round can be found using the combination formula, which is n! / [r!(n-r)!], where n is the total number of items (players) and r is the number of items to choose (2 for a pair). Thus, the calculation is 15! / [2!(15-2)!] = 15! / (2! * 13!) = (15 * 14) / (2 * 1) = 105.

Solve the Problem. -Suppose a Tournament Has 15 Participants. in How Many Different