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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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प्रश्न

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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उत्तर

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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अध्याय 16: Permutations - Exercise 16.5 [पृष्ठ ४३]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.5 | Q 8 | पृष्ठ ४३

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