How many different signals can be transmitted by arranging 2 red, 3 ye – InterviewSolution

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1.

How many different signals can be transmitted by arranging 2 red, 3 yellow and 2 green flags on a pole, if all the seven flags are used to transmit a signal?

Answer»

To find: Number of distinct signals possible

Total number of fags = 7

2 are of 1 kind, 3 are of another kind, and 2 are of the 3rd kind

⇒ Number of distinct signals = \(\frac{7!}{2!3!2!}\) = 210

Hence 210 different signals can be made

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