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There are 10 books on a shelf. What is the probability that

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SVP
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There are 10 books on a shelf. What is the probability that [#permalink] New post 13 Aug 2003, 09:15
There are 10 books on a shelf. What is the probability that five of them stay next to each other?
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 [#permalink] New post 13 Aug 2003, 09:43
kpadma wrote:
P = 6!/10!


You're only partway there....
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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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 [#permalink] New post 13 Aug 2003, 12:05
P = 6!*5!/10!

Thanks both of you for posting nice questions as well as answering them.
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 [#permalink] New post 14 Aug 2003, 01:57
stolyar wrote:
you lost 5!


agree 5!*6!/10!

Could you explain your solution?
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 [#permalink] New post 14 Aug 2003, 04:35
Shouldn't it be:

5C10*5!/10!

If I am wrong please explain why?
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Re: TRIBUTE TO BOOKS [#permalink] New post 15 Aug 2003, 00:56
stolyar wrote:
There are 10 books on a shelf. What is the probability that five of them stay next to each other?


Take the 5 books that need to stay together as one book. Then, the total no. of books is 6 and they can be arranged in 6! ways. The 5 books taken together can themselves be arranged in 5! ways.

Total no. of ways of arranging 10 different books = 10!

Therefore, prob = 6!*5!/10!
Re: TRIBUTE TO BOOKS   [#permalink] 15 Aug 2003, 00:56
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