Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 12 - Data Analysis and Probability - Chapter Review - 12-6 Permutations and Combinations - Page 777: 22



Work Step by Step

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 9 for N and 5 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{9}$P$_{5}$=$\frac{9!}{(9-5)!}$ -simplify- $_{9}$P$_{5}$=$\frac{9!}{4!}$ -write using factorial- $_{9}$P$_{5}$=$\frac{9*8*7*6*5*4*3*2*1}{4*3*2*1}$ -simplify- $_{9}$P$_{5}$=15120
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