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?

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?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...

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Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?