# Chapter 11 - Counting Methods and Probability Theory - 11.2 Permutations - Exercise Set 11.2 - Page 701: 56

504

#### 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 different signals consisting of nine flags that can be made using three white flags, five red flags, and one blue flag is: $\frac{9!}{3!5!1!}$ = 504 ways

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