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# In how many ways can 4 prizes each having 1st,2nd and 3rd positions be

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Manager
Joined: 08 Sep 2010
Posts: 199
Location: India
WE 1: 6 Year, Telecom(GSM)
In how many ways can 4 prizes each having 1st,2nd and 3rd positions be  [#permalink]

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Updated on: 28 Oct 2010, 00:51
1
00:00

Difficulty:

55% (hard)

Question Stats:

45% (00:53) correct 55% (00:54) wrong based on 33 sessions

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In how many ways can 4 prizes each having 1st,2nd and 3rd positions be given to 3 boys ,if each boy is eligible to receive more than one prize?

1. 12P3
2. 6^4
3. 4^3
4. 12C4 * 3!
5. 3^12

Originally posted by ankitranjan on 27 Oct 2010, 04:05.
Last edited by ankitranjan on 28 Oct 2010, 00:51, edited 1 time in total.
Manager
Joined: 30 Sep 2010
Posts: 55
Re: In how many ways can 4 prizes each having 1st,2nd and 3rd positions be  [#permalink]

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27 Oct 2010, 07:37
1
1
note that for each prize there are 3 positions and each position has to go to a different person. So it is basically arranging 3 things at 3 positions which is 3! = 6

There are 4 prizes and each prize results 6 ways.
Hence total number of ways = 6 ^ 4. Option : 2

(give me a kudo if you like it)
Manager
Joined: 08 Sep 2010
Posts: 199
Location: India
WE 1: 6 Year, Telecom(GSM)
Re: In how many ways can 4 prizes each having 1st,2nd and 3rd positions be  [#permalink]

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28 Oct 2010, 00:53
krushna wrote:
note that for each prize there are 3 positions and each position has to go to a different person. So it is basically arranging 3 things at 3 positions which is 3! = 6

There are 4 prizes and each prize results 6 ways.
Hence total number of ways = 6 ^ 4. Option : 2

(give me a kudo if you like it)

Yes You are right.+1 for you.
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Joined: 09 Sep 2013
Posts: 7326
Re: In how many ways can 4 prizes each having 1st,2nd and 3rd positions be  [#permalink]

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01 Oct 2017, 04:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In how many ways can 4 prizes each having 1st,2nd and 3rd positions be &nbs [#permalink] 01 Oct 2017, 04:53
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