Question 745083: Suppose that you have 3 different math books, 4 different chemistry books, and 5 different
biology books that you wish to put on a bookshelf. In how many ways can this be done if
all of the books of each type must be placed together (all of the math books need to be
together, all of the chemistry books need to be together, and all of the biology books
need to be together)?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that you have 3 different math books, 4 different chemistry books, and 5 different
biology books that you wish to put on a bookshelf. In how many ways can this be done if
all of the books of each type must be placed together (all of the math books need to be
together, all of the chemistry books need to be together, and all of the biology books
need to be together)?
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1st: Think of each set of books as one book:
# of ways to arrange these sets is 3! = 6
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2nd: Think of the # of arrangements of each set: 3!*4!*5!
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Multiply to get the final # of arrangements: 6*6*24*120 = 103680
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Cheers,
Stan H.
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