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A signal can be formed by running different colored flags up a pole, one above the other. Find the number of different signals consisting of 9 flags that can be made using 4 white flags, 3 red flags, and 2 blue flags.

Answer :

The number of different signals consisting of 9 flags that can be made using 4 white​ flags, 3 red​ flags, and 2 blue flags: 1260

What is the combination?

In mathematics, Combination is a term which tells us how many ways there are for the selection of a few things without considering their order.

Formula for selection of a objects from the n objects,

N = ⁿCₐ

Given that,

The number of different signals consisting of 9 flags,

4 white​ flags, 3 red​ flags, and 2 blue flags.

The total numbers of signals can be made by 9 flags

= 9î/(4î)(3î)(2î)

= [9x8x7x6x5] / [3x2x1][2x1]

= 9 x 4 x 7 x 5

= 1260

Hence, the number of different signals is 1260

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