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In a library, there are m books of mathematics and n books of

Question

In a library, there are m books of mathematics and n books of natural science. They can be placed on a shelf in $1209600$ ways so that the books of the same subject are not separated.If $m \geq n$ . then m $=$

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In a library, there are m books of mathematics and n books of natural science. They can be placed on a shelf in

1209600

ways so that the books of the same subject are not separated.If

m \geq n

. then m

=

13 mins ago

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13 mins ago

Text solutionVerified

Mathematics books and natural science books could permute in m! and n! way and we could arrange them in 2!

m! \times n! \times 2!

=

1209600

By trial and error,

m! \times n!

=

7! \times 5!

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Question Text	In a library, there are m books of mathematics and n books of natural science. They can be placed on a shelf in $1209600$ ways so that the books of the same subject are not separated.If $m \geq n$ . then m $=$
Answer Type	Text solution:1
Upvotes	151