   Chapter 14.1, Problem 46E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 41-52 Counting Permutations These exercises involve counting permutations.Piano Recital A pianist plans to play eight pieces at a recital. In how many ways can arrange these pieces in the program?

To determine

To find:

The total number of ways by which, a pianist can arrange the eight pieces at a recital in the program.

Explanation

Approach:

The number of permutations of n distinct objects taken r at a time is,

P(n,r)=n!(nr)! ……(2)

Calculation:

The total number of pieces is eight and the number of ways of arranging the eight pieces at a time is similar to the number of ways of selecting eight numbers from the eight numbers.

Thus, it is given as,

P(8,8)=8!

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