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  1. A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated ?
    1. 120
    2. 180
    3. 160
    4. 140
Correct Option: A

Regarding all copies of the same book as one book, we have only 5 books. These 5 books can be arranged in 5! ways. But all copies of the same book being identical can be arranged in only one way.

∴ Required number = 5! x 1! x 1! x 1! x 1! = 120



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