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Counting Problem frmo Combination Lessons

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GMAT Club Legend
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Joined: 07 Jul 2004
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Counting Problem frmo Combination Lessons [#permalink] New post 29 Jul 2004, 09:05
Hi,

This question is from the combinations lesson posted here.

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 ?

Any idea how it should be solved ?
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 [#permalink] New post 29 Jul 2004, 18:11
The Answer is 9!/(3!*2!*4!).

We divide 9! by 3!, 4! and 2! because there are identical 3 red, 4 yellow and 2 blue flags. Best way to remember solving such problem is that, if there are n things and r out of them are identical, then it is n!/r!.

Last edited by venksune on 29 Jul 2004, 19:45, edited 1 time in total.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 5095
Location: Singapore
Followers: 19

Kudos [?]: 155 [0], given: 0

 [#permalink] New post 29 Jul 2004, 19:01
Hi Venksune !!

That r!/n! was really new to me. Learnt something new today again !
:-D
  [#permalink] 29 Jul 2004, 19:01
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Counting Problem frmo Combination Lessons

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