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How many different signals can be transmitted by hoisting 3

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How many different signals can be transmitted by hoisting 3 [#permalink] New post 02 Oct 2003, 11:20
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How many different signals can be transmitted by hoisting 3 red, 4 yellow and 2 blue flags on a pole, assuming that in transmitting a signal all nine flags are to be used?
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Re: PS: Flags [#permalink] New post 02 Oct 2003, 12:22
amarsesh wrote:
How many different signals can be transmitted by hoisting 3 red, 4 yellow and 2 blue flags on a pole, assuming that in transmitting a signal all nine flags are to be used?


I figured this out by myself. But, it took an awfully long time.

The answer = 1260.

The 9 flags cane be arranged in 9! ways

But there are 3 red, 4 yellow and 2 blue flags, which will essentially lead to the same signal.

So, the number of unique signals = 9!/(3! * 4! * 2!) = 1260
Re: PS: Flags   [#permalink] 02 Oct 2003, 12:22
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