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

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Joined: 03 Feb 2003
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There are 10 books on a shelf. What is the probability that [#permalink]  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?
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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P = 6!/10!

You're only partway there....
_________________

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

Director
Joined: 03 Jul 2003
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P = 6!*5!/10!

Thanks both of you for posting nice questions as well as answering them.
Manager
Joined: 11 Jun 2003
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stolyar wrote:
you lost 5!

agree 5!*6!/10!

Intern
Joined: 30 Jul 2003
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Shouldn't it be:

5C10*5!/10!

If I am wrong please explain why?
Manager
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Re: TRIBUTE TO BOOKS [#permalink]  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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