Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - Review Exercises: Chapter 14 - Page 928: 39

Answer

$5040$

Work Step by Step

The factorial function is defined as the multiple of all whole numbers from the chosen number down to 1. Thus: $n!=n\left( n-1 \right)!$ Or, $n!=n\left( n-1 \right)\left( n-2 \right)\ldots 2\cdot 1$ Thus, $\begin{align} & 7!=7\left( 7-1 \right)\left( 7-2 \right)\left( 7-3 \right)\left( 7-4 \right)\left( 7-5 \right)\left( 7-6 \right) \\ & =7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1 \\ & =5040 \end{align}$ Therefore, the value of $7!$ is $5040$.
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