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: 28



Work Step by Step

Use the formula of combination: $_{n}$P$_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 8 for N and 2 for R: $_{n}$P$_{r}$=$\frac{n!}{r!(n-r)!}$ $_{8}$P$_{2}$=$\frac{8!}{2!(8-2)!}$ -simplify like terms- $_{8}$P$_{2}$=$\frac{8!}{2! (6!)}$ -write using factorial- $_{8}$P$_{2}$=$\frac{8*7*6*5*4*3*2*1}{(2*1)(6*5*4*3*2*1)}$ -simplify- $_{8}$P$_{2}$=28
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