Question 190798: There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must be together?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There are 8 physics textbooks, 7 us history textbooks, 4 calculus textbooks, and 3 resource books on a shelf. Assuming the books in each category are DISTINCT how many ways can they be arranged if books of the same kind must be together?
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# of ways to arrange physics: 8!
# of ways to arrange history: 7!
# of ways to arrange calculus:4!
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# of ways to arrange the three groupings: 3!
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Total number of arrangements: 8!*7!*4!*3!= 2.92626 x 10^10
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Cheers,
Stan H.
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