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

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There are 10 books on a shelf. What is the probability that [#permalink] New post 13 Aug 2003, 10:15
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, 10:43
kpadma wrote:
P = 6!/10!


You're only partway there....
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AkamaiBrah
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 [#permalink] New post 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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 [#permalink] New post 14 Aug 2003, 02:57
stolyar wrote:
you lost 5!


agree 5!*6!/10!

Could you explain your solution?
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 [#permalink] New post 14 Aug 2003, 05:35
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, 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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