Solve Counting Problems Using the Multiplication Rule
-There are 9 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances
A) 40,320
B) 362,880
C) 81
D) 72

Question

Quizplus · Accepted Answer

Since one performer insists on being the first act, there are 8 remaining performers who can be arranged in any order. The number of different ways to schedule these appearances is 8!, which equals 40,320.