Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11824 - 11.6 - Counting Principles - 11.6 Exercises - Page 824: 46

Answer

34650 distinguishable permutations.

Work Step by Step

1 M, 4 I's, 4 S's and 2 P's. Total: 11 letters. $\frac{11!}{1!~4!~4!~2!}=\frac{11\times10\times9\times8\times7\times6\times5\times4!}{4!\times24\times2}=34650$
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