Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.4 - Permutations and Combinations - Exercises - Page 437: 11

Answer

$45$

Work Step by Step

The number of combinations of 10 items taken 8 at a time : $C(10,8)=\frac{10!}{8!(10-8)!}=\frac{10!}{8!*2!}=\frac{10*9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1*2*1}=\frac{10*9}{2}=5*9=45$
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