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Mary has on her bookshelf 5 novels, 4 biographies, and 8 textbooks. Mary wants to take a...

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Basic Math

Mary has on her bookshelf 5 novels, 4 biographies, and 8textbooks.

Mary wants to take a fiction and a non-fiction book with her ona short trip.

(a) How many different ways can she do this?

(b) Mary thinks a little and then decides that she wants insteadto take a novel and a biography. How many different ways can she dothis?

(c) On a longer trip Mary decides to take three novels and fournon-fiction books with at least one of the non-fiction books abiography. How many ways are there to make such a selection?

Answer & Explanation Solved by verified expert
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Assumption All novels are fictional and rest of the books biographies and textbooks are nonfictional formula choose k product from n choices Cnk nCk n knk a a fiction and a nonfiction    See Answer
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