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

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There are 4 copies each of 4 different books. In how many [#permalink] New post 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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 [#permalink] New post 21 Jul 2003, 19:05
4!? :?:
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 [#permalink] New post 21 Jul 2003, 19:13
or should it be 4x4=16
16!/(16-4)!

not sure??
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 [#permalink] New post 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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Re: PS: 3 [#permalink] New post 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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AkamaiBrah
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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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Re: PS: 3 [#permalink] New post 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).
Re: PS: 3   [#permalink] 22 Jul 2003, 16:46
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