places on at will the bookshelf 10 books, asks 5 books which in which assigns to put on the same place probability

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- June 29th 2007, 12:47 AMneworld222arrange book's question
places on at will the bookshelf 10 books, asks 5 books which in which assigns to put on the same place probability

- June 29th 2007, 06:48 AMgalactus
What is that supposed to mean?. I am sorry, but it makes no sense.

- June 29th 2007, 09:04 AMSoroban
Hello, neworld222!

I think it's Yoda, the Jedi Master . . .

Quote:

places on at will the bookshelf 10 books,

asks 5 books which in which assigns to put on the same place probability

Ten distinct books are placed randomly on a shelf (in a row).

What is the probability that a particular five books are adjacent?

There are possible arrangements.

Duct-tape those five books together.

Then we have six "books" to arrange: .

. . They can be arranged in ways.

For each of these, the five books can be permuted in ways.

. . Hence, there are: . desirable arrangements.

The probability is: .

- June 30th 2007, 02:49 AMneworld222