Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Review Exercises - Page 1125: 72


The value of $_{8}{{P}_{3}}$ = $336$

Work Step by Step

We have to compare the provided expression with the standard form; it gives $ n=8,r=3$. Put the values in the permutation formula: That is, $\begin{align} & _{8}{{P}_{3}}=\frac{8!}{\left( 8-3 \right)!} \\ & =\frac{8!}{5!} \\ & =\frac{8\times 7\times 6\times 5!}{5!} \\ & =336 \end{align}$
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