An interior decorator is trying to arrange a shelf containing eight books, three with red covers, three

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An interior decorator is trying to arrange a shelf containing eight books, three with red covers, three with blue covers, and two with brown covers.
(a) Assuming the titles and the sizes of the books are irrelevant, in how many ways can she arrange the eight books?

(b) In how many ways could the books be arranged if they were all considered distinct?

(c) In how many ways could the books be arranged if the red books were considered indistinguishable, but the other five were considered distinct?

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