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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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 $$=$$ $$5$$!$$4$$!$$3$$!$$2$$!

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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