Solve the problem.
-There are 9 horses in a race. In how many ways can the first three positions of the order of the Finish occur? (Assume there are no ties.)
A) 84
B) 508
C) 82
D) 504

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the horses finish 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 = 9 (horses) and r = 3 (positions). So, P(9, 3) = 9! / (9-3)! = 9! / 6! = (9×8×7×6!)/6! = 9×8×7 = 504.

Solve the Problem. -There Are 9 Horses in a Race. in How Many