Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - Chapter Review - Page 789: 27



Work Step by Step

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 7 for N and 2 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{7}$P$_{2}$=$\frac{7!}{(7-2)!}$ -simplify like terms- $_{7}$P$_{2}$=$\frac{7!}{5!}$ -write using factorial- $_{7}$P$_{2}$=$\frac{7*6*5*4*3*2*1}{5*4*3*2*1}$ -simplify- $_{7}$P$_{2}$=42
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