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
4!2!
b
11!
c
5!4!3!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!