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Let x denote the number of ways of arran...

Let x denote the number of ways of arranging m boys and m girls in a row so that no two boys sit together. If y and z give the number of ways of arranging m boys and m girls in a row and around a circular table respectively so that boys and girls sit alternately, then `x : y : z=`

A

`m+1 : m : m-1`

B

`3 : 2 : 1`

C

`m-1 : m : 2`

D

`(m+1)m : 2m : 1`

Text Solution

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The correct Answer is:
D
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