Eleven books consisting of 5 Mathematics,4 Ph | vedclass

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(C) There are $3$ subjects: Mathematics,Physics,and Chemistry. Since books of the same subject must be kept together,we treat each subject group as a

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$3! 5! 4! 2!$

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(C) There are $3$ subjects: Mathematics,Physics,and Chemistry. Since books of the same subject must be kept together,we treat each subject group as a single unit. There are $3$ such units (Mathematics group,Physics group,and Chemistry group),which can be arranged among themselves in $3!$ ways. Within their respective groups,the $5$ Mathematics books can be arranged in $5!$ ways,the $4$ Physics books in $4!$ ways,and the $2$ Chemistry books in $2!$ ways. Therefore,the total number of arrangements is $3! 	imes 5! 	imes 4! 	imes 2!$.

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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