Suppose you wish to arrange 2 math books, 5 chemistry books, and 4 history books on a single bookshelf. In how many ways can this be done? In how many ways can this be done if the math books must come first, then the chemistry books, and finally the history books? In how many ways can this be done if all of the books of the same subject must be kept together?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you wish to arrange 2 math books, 5 chemistry books, and 4 history books on a single bookshelf.

In how many ways can this be done?

In how many ways can this be done if the math books must come first, then the chemistry books, and finally the history books?

In how many ways can this be done if all of the books of the same subject must be kept together?

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