Solve the problem.
-In how many ways can 5 of 11 cars be parked in 5 spaces?
A) 55,440
B) 11
C) 462
D) 332,640

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the cars are parked matters. The formula for permutations is P(n, r) = n! / (n-r)!, where n is the total number of items to choose from, r is the number of items to choose, and "!" denotes factorial, which means the product of all positive integers up to that number. Here, n = 11 (total cars) and r = 5 (spaces available). So, P(11, 5) = 11! / (11-5)! = 11! / 6! = (11×10×9×8×7×6!) / 6! = 11×10×9×8×7 = 55,440.

Solve the Problem. -In How Many Ways Can 5 of 11 Cars Be