   Chapter 14.1, Problem 47E ### 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.Running a Race In how many different ways can a race with nine runners be completed, assuming that there is no tie?

To determine

To find:

The number of different ways by which, the race of nine runners can be completed.

Explanation

Given:

The total number of runners is nine and the condition is that there is no tie.

Approach:

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

P(n,r)=n!(nr)! ……(2)

Calculation:

There are total nine runners in a race and the number of different ways of completing the race of nine runners is similar to the number of different ways of selecting the nine runners at a time.

Thus, it is given as,

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