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Book displays at a college library exhibition of faculty

Question: BOOK DISPLAYS At a college library exhibition of faculty publications, three mathematics books, four social science books, and three biology books will be displayed on a shelf. (Assume that none of the books is alike.)

a. In how many ways can the ten books be arranged on the shelf?

b. In how many ways can the ten books be arranged on the shelf if books on the same subject matter are placed together?

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Mathematics: Book displays at a college library exhibition of faculty

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Mathematics: Book displays at a college library exhibition of faculty

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