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

Vedclass · Accepted Answer

$3! 5! 4! 2!$

Vedclass · Answer

(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 $3!$ ways to arrange these $3$ units on the shelf. Within the Mathematics group,the $5$ books can be arranged in $5!$ ways. Within the Physics group,the $4$ books can be arranged in $4!$ ways. Within the Chemistry group,the $2$ books can be arranged 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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