SOLUTION: 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 the

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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(48568) About Me  (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.