Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Review - Review Exercises - Page 315: 12c

Answer

$_9C_4=126$

Work Step by Step

$_nC_r=\frac{n!}{r!(n-r)!}$ $n=9$ and $r=4$ $_9C_4=\frac{9!}{4!(9-4)!}=\frac{9!}{4!\times5!}$ But, $9!=9\times8\times7\times6\times(5\times4\times3\times2\times1)=9\times8\times\times7\times6\times5!$ $_9C_4=\frac{9\times8\times7\times6\times5!}{4!\times5!}=\frac{9\times8\times7\times6}{4\times3\times2\times1}=\frac{3024}{24}=126$
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