Determine the Appropriate Counting Technique to Use
-There are 11 runners in a race. In how many ways can the first, second, and third place finishes occur (Assume there are no ties.)
A) 990
B) 165
C) 994
D) 163

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the runners finish matters. The number of ways to choose the top 3 finishers from 11 runners is 11P3 = 11! / (11-3)! = 11*10*9 = 990.