## Precalculus (6th Edition)

Published by Pearson

# Chapter 11 - Further Topics in Algebra - 11.6 Basics of Counting Theory - 11.6 Exercises - Page 1062: 45

#### Answer

$362,880$

#### Work Step by Step

Seating in a row = arrangement. Permutations.$P(n,r)=\displaystyle \frac{n!}{(n-r)!}$. Arranging r=$9$ from n=$9$ people, $P(9,9)=\displaystyle \frac{9!}{(9-9)!}\qquad$ ... by definition of factorials, $0!=1$ $=9!$ $=9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$ = $362,880$

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