Q.

Eleven books consisting of 5 Mathematics, 4 Physics and 2 Chemistry are placed on a shelf. The number of possible ways of arranging them on the assumption that the books of the same subject are all together, is

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a

11!

b

5!4!3!2!

c

4!2!

d

None of these

answer is C.

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Detailed Solution

Since, the books consisting of 5 Mathematics, 4 Physics and 2 Chemistry can be put together of the same subject in 5!4!2! ways.
But these subject books can be arranged it self in 3! ways
.'. Required number of ways = 5!4!3!2! 

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