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 - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 767: 50



Work Step by Step

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 3 for N and 3 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{3}$P$_{3}$=$\frac{3!}{(3-3)!}$ -simplify- $_{3}$P$_{3}$=$\frac{3!}{0!}$ -write using factorial- $_{3}$P$_{3}$=$\frac{3*2*1}{1}$ -simplify- $_{3}$P$_{3}$=6
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