Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.2 Permutations - Exercise Set 11.2 - Page 701: 52

Answer

3780

Work Step by Step

The number of permutations of n items, where p items are identical, q items are identical, r items are identical, and so on, is given by $\frac{n!}{p!q!r!}$ The number of distinct ways the letters of the word TENNESSEE can be arranged: $\frac{9!}{4!2!2!}$ = 3780 ways
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