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: 25



Work Step by Step

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 5 for N and 2 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{5}$P$_{2}$=$\frac{5!}{(5-2)!}$ -simplify- $_{5}$P$_{2}$=$\frac{5!}{3!}$ -write using factorial- $_{5}$P$_{2}$=$\frac{5*4*3*2*1}{3*2*1}$ -simplify- $_{5}$P$_{2}$=20
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