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Principles of Counting: You have a ten-volume set of books. a) How many different ways can...

Principles of Counting:

You have a ten-volume set of books.

a) How many different ways can the books be arranged?

b) How many of these arrangements have Volumes 1, 2, and 3 side by side in any order?

c) How many of these arrangements have Volumes 1, 2, and 3 side by side in that order?

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Answer #1

A) number of different arramarrange= 10! = 3628800

B) number of arrangements with vol 1,2 and 3 side by side = 8! * 3! = 241920

C) number of arrangements with vol 1,2 and 3 in this order = 8! = 40320

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