How many different signals can be made from 4 red, 2 white and 3 … - Vidyadip

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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Answer

Total number of red flags = 4

Total number of white flags = 2

Total number of green flags = 3

We have to arrange 9 flags, out of which 4 are of red, 2 are white and 3 are green,

So, total number of signals $= \frac{ 9!}{ 4!\ 2!\ 3!}$

$=\frac{9\times8\times7\times6\times5\times4!}{4!\times2\times3\times2}=9\times4\times7\times5=1260$

Hence, total number of signals = 1260.

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