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: 12

Answer

$55$

Work Step by Step

The number of combinations of 11 items taken 9 at a time : $C(11,9)=\frac{11!}{9!(11-9)!}=\frac{11!}{9!*2!}=\frac{11*10*9*8*7*6*5*4*3*2*1}{9*8*7*6*5*4*3*2*1*2*1}=\frac{11*10}{2}=5*11=55$
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