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How Many Different Signals Can Be Made from 4 Red, 2 White and 3 Green Flags by Arranging All of Them Vertically on a Flagstaff?

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Question

How many different signals can be made from 4 red, 2 white and 3 green flags by arranging all of them vertically on a flagstaff?

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Solution

We have to arrange 9 flags, out of which 4 are of one kind (red), 2 are of another kind (white) and 3 are of the third kind (green).
∴ Total number of signals that can be generated with these flags =\[\frac{9!}{4!2!3!}\]= 1260

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Factorial N (N!) Permutations and Combinations
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Chapter 16: Permutations - Exercise 16.5 [Page 43]

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R.D. Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.5 | Q 8 | Page 43

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