Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 11 - Probability and Statistics - Mid-Chapter Quiz - Page 710: 3

Answer

$\dfrac{5!}{3!}=20$

Work Step by Step

Using $n!=n(n-1)(n-2)...(3)(2)(1),$ the value of the given expression, $ \dfrac{5!}{3!} ,$ is \begin{align*}\require{cancel} & \dfrac{5(4)(3!)}{3!} \\\\&= \dfrac{5(4)(\cancel{3!})}{\cancel{3!}} \\\\&= 5(4) \\&= 20 .\end{align*} Hence, $ \dfrac{5!}{3!}=20 $.
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