Solve the problem.
-In how many ways can 11 people be chosen and arranged in a straight line, if there are 12 people from whom to choose?
A) 132
B) 12
C) 479,001,600
D) 24

Question

Quizplus · Accepted Answer

This is a permutation problem because the order in which the 11 people are arranged 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 to be arranged. Here, n=12 and r=11, so P(12, 11) = 12! / (12-11)! = 12! / 1! = 12!, which equals 479,001,600.

Solve the Problem. -In How Many Ways Can 11 People Be Chosen and Be