You recently acquired books on three different subjects in the following quantities: 6 history books, 5...

You recently acquired books on three different subjects in the following quantities: 6 history books, 5 music books, and 4 photography books.

(a) In how many ways can you arrange the books on a shelf?
(b) In how many ways can you arrange the books on a shelf so they can be grouped by subject?
(c) In how many ways can they choose 6 books with 2 books per subject?
(d) In how many ways can they choose 6 books with at least 4 history books?

Solve the discrete mathematics problem above using permutations/combinations. Show all work.

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Expert Solution

Colby Messinger answered 1 year ago

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