How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?
A) 48
B) 40,320
C) 720
D) 20,160

Name: How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from? A) 48 B) 40,320 C) 720 D) 20,160
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Question

Quizplus · Accepted Answer

The number of ways to choose and arrange 6 people out of 8 is given by the permutation formula: P(n, r) = n! / (n-r)!. Here, n = 8 and r = 6, so P(8, 6) = 8! / (8-6)! = 8! / 2! = 40,320 / 2 = 20,160.

How Many Ways Can 6 People Be Chosen and Arranged