Solve the problem.
-Suppose a contest has 11 participants. In how many different ways can first through fifth place be awarded?
A) 55,440
B) 39,916,680
C) 161,051
D) 462

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the awards are given matters. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items, and r is the number of items being chosen. Here, n = 11 (participants) and r = 5 (places). So, P(11, 5) = 11! / (11-5)! = 11! / 6! = 11 x 10 x 9 x 8 x 7 = 55,440.

Solve the Problem. -Suppose a Contest Has 11 Participants. in How Many Different