SOLUTION: There are 4 copies of Statistics book, 5 copies of Science book, and 3 copies of English book. In how many ways can they be arranged on a shelf?
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Question 1185054: There are 4 copies of Statistics book, 5 copies of Science book, and 3 copies of English book. In how many ways can they be arranged on a shelf? Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
There are 4 copies of Statistics book, 5 copies of Science book,
and 3 copies of English book. In how many ways can they be arranged on a shelf?
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Based on context, I interpret the given part as if the copies of each kind are undistinguishable.
Then the question is: how many DISTINGUISHABLE arrangements are there in this situation ?
The total number of books is 4+5+3 = 12; the multiplicities are 4, 5 and 3.
Use the formula for the number of distinguishable arrangements and get the number
= = 27720.
ANSWER. The number of distinguishable arrangements is 27720.
