SOLUTION: There are 8 Physics books, 4 calculus books, 7 us history textbooks, and 3 resource books on a shelf. Assuming the books in each category are NOT DISTINCT how many ways can they b

Question 190792: There are 8 Physics books, 4 calculus books, 7 us history textbooks, and 3 resource books on a shelf. Assuming the books in each category are NOT DISTINCT how many ways can they be arranged on the shelf?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 8 Physics books, 4 calculus books, 7 us history textbooks, and 3 resource books on a shelf. Assuming the books in each category are NOT DISTINCT how many ways can they be arranged on the shelf?
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There are 22 positions to be filled.
# of ways to pick 8 places for the physics: 22C8
# of ways to pick 4 places for the calc: 14C4
# of ways to pick 7 places for the hist: 10C7
# of ways to pick 3 for the resource: 3C3
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Total number of arrangements : Multiply the four factors
I get 3.84108 X 10^10
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Cheers,
Stan H.
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