Suppose you have 30 books (15 novels, 10 history books, and 5 math books). Assume that all 30 books are different: In how many ways can you put the 30 books in a row on a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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  1. Suppose you have 30 books (15 novels, 10 history books, and 5 math books). Assume that all 30 books are different:
    1. In how many ways can you put the 30 books in a row on a shelf?
    2. In how many ways can you get a bunch of four books to give to a friend?
    3. In how many ways can you get a bunch of three history books and seven novels to give to a friend?
    4. In how many ways can you put the 30 books in a row on a shelf if the novels are on the left, the math books are in the middle, and the history books are on the right?
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