A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book....
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A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book. He wants to arrange them on a bookshelf. a. If all the books have different titles, in how many distinct ways can he arrange them? b. Throughout parts b-e, assume that all the books from a particular topic have the same title (for example, 3 indistinguishable copies of "Calculus" by Carey). In how many distinct ways can he arrange his books? c. If he groups the identical math books together, and he groups the identical history books together, and he groups the identical chemistry books together, in how many distinet ways can he arrange his books? d. If he groups the identical history books together (but isn't picky about the other books), in how many distinct ways can he arrange his books? e. (Again assume that the books of each subject are identical) what is the probability that none of the history books are together? A student has 3 math books, 4 history books, 2 chemistry books, and 1 Latin book. He wants to arrange them on a bookshelf. a. If all the books have different titles, in how many distinct ways can he arrange them? b. Throughout parts b-e, assume that all the books from a particular topic have the same title (for example, 3 indistinguishable copies of "Calculus" by Carey). In how many distinct ways can he arrange his books? c. If he groups the identical math books together, and he groups the identical history books together, and he groups the identical chemistry books together, in how many distinet ways can he arrange his books? d. If he groups the identical history books together (but isn't picky about the other books), in how many distinct ways can he arrange his books? e. (Again assume that the books of each subject are identical) what is the probability that none of the history books are together?
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
Posted Date:
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