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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]

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13 Aug 2003, 10:15
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

There are 10 books on a shelf. What is the probability that five of them stay next to each other?
GMAT Instructor
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13 Aug 2003, 10:43
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
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13 Aug 2003, 13:05
P = 6!*5!/10!

Thanks both of you for posting nice questions as well as answering them.
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14 Aug 2003, 02:57
stolyar wrote:
you lost 5!

agree 5!*6!/10!

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14 Aug 2003, 05:35
Shouldn't it be:

5C10*5!/10!

If I am wrong please explain why?
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15 Aug 2003, 01:56
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, 01:56
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