Algebra 1

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

Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 755: 40


$_{8}$P$_{6}$ is greater

Work Step by Step

You have $_{8}$P$_{6}$ and $_{6}$P$_{2}$ .Solve in order to determine which is greater: A: $_{8}$P$_{6}$=$\frac{8!}{(8-6)!}$ -simplify- $_{8}$P$_{6}$=$\frac{8!}{2!}$ -write using factorial- $_{8}$P$_{6}$=$\frac{8*7*6*5*4*3*2*1}{2*1}$ -simplify- $_{8}$P$_{6}$=20160 B: $_{6}$P$_{2}$=$\frac{6!}{(6-2)!}$ -simplify- $_{6}$P$_{2}$=$\frac{6!}{4!}$ -write using factorial- $_{6}$P$_{2}$=$\frac{6*5*4*3*2*1}{4*3*2*1}$ -simplify- $_{6}$P$_{2}$=30 $_{8}$P$_{6}$ is greater
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