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: 42


$_{8}$P$_{4}$ is greater

Work Step by Step

You have $_{10}$P$_{3}$ and $_{8}$P$_{4}$.Solve to find out which is larger: A: $_{10}$P$_{3}$=$\frac{10!}{(10-3)!}$ -simplify- $_{10}$P$_{3}$=$\frac{10!}{7!}$ -write using factorial- $_{10}$P$_{3}$=$\frac{10*9*8*7*6*5*4*3*2*1}{7*6*5*4*3*2*1}$ -simplify- $_{10}$P$_{3}$=720 B: $_{8}$P$_{4}$=$\frac{8!}{(8-4)!}$ -simplify- $_{8}$P$_{4}$=$\frac{8!}{4!}$ -write using factorial- $_{8}$P$_{4}$=$\frac{8*7*6*5*4*3*2*1}{4*3*2*1}$ -simplify- $_{8}$P$_{4}$=1680 $_{8}$P$_{4}$ is greater
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