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

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Advance Math

You recently acquired books on three different subjects in thefollowing quantities: 6 history books, 5 music books, and 4photography 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 theycan be grouped by subject?
(c) In how many ways can they choose 6 books with 2 books persubject?
(d) In how many ways can they choose 6 books with at least 4history books?

Solve the discrete mathematics problem aboveusing permutations/combinations. Show allwork.

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