Thinking Mathematically (6th Edition)

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

Chapter 11 - Counting Methods and Probability Theory - Chapter Summary, Review, and Test - Review Exercises - Page 758: 28

Answer

$60$

Work Step by Step

335,557 has $6$ digits, out of which $3$ is repeated twice, $5$ is repeated $3$ times and $7$ appears once, thus using the formula for permutations with repetitions, the number of distinguishable permutations of the digits in the number is: $\frac{6!}{3!2!}=60$
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