1.

There are 2 English, 3 Sanskrit and 4 Hindi books. In how many ways can they be arranged on a self so as to keep all the books of the same language together?

Answer» Let us make 1 packet for each of the books on the same language .
Number of ways of arranging the 3 packets `=""^(3)P_(3)=3! =6.`
Number of ways of arranging 2 English books `=2! =2.`
Number of ways of arranging 3 Sanskrit books ` = 3! =6.`
Number of ways of arranging 4 Hindi books `=4! =24.`
Hence, the required number of ways `=(2xx6xx24)xx4=1728.`


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