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In a library, there are 6 copies of one ...

In a library, there are 6 copies of one book, 4 copies each of two different books, 5 copies each of three different books and 3 copies each of two different books. Find the number of ways of arranging all these books in a shelf in a single row.

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The correct Answer is:
`=((35)!)/(6!(4!)^(2)(5!)^(3)(3!)^(2))`
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