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# There are 4 copies each of 4 different books. In how many

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Manager
Joined: 08 Apr 2003
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There are 4 copies each of 4 different books. In how many [#permalink]

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21 Jul 2003, 18:34
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There are 4 copies each of 4 different books. In how many ways can they be arranged in a shelf?

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Manager
Joined: 07 Jul 2003
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21 Jul 2003, 19:05
4!?

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Intern
Joined: 04 Jun 2003
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Location: california

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21 Jul 2003, 19:13
or should it be 4x4=16
16!/(16-4)!

not sure??

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Eternal Intern
Joined: 07 Jun 2003
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21 Jul 2003, 19:25
Why are you working on Math:) You got a bad word 49:) already, please work with me on SC and CR:)

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GMAT Instructor
Joined: 07 Jul 2003
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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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21 Jul 2003, 20:57
evensflow wrote:
There are 4 copies each of 4 different books. In how many ways can they be arranged in a shelf?

Assume the 4 copies of each book are indistinguishable, the number of arrangements is

16!/(4!4!4!4!)
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Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

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Manager
Joined: 08 Apr 2003
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22 Jul 2003, 16:46
AkamaiBrah wrote:
evensflow wrote:
There are 4 copies each of 4 different books. In how many ways can they be arranged in a shelf?

Assume the 4 copies of each book are indistinguishable, the number of arrangements is

16!/(4!4!4!4!)

Do i need to anything???

I like this problem a lot. Because it's so easy to forget to eliminate the repeated arrangments( copies are identical).

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Re: PS: 3   [#permalink] 22 Jul 2003, 16:46
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