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Question

If n is the number of ways of dividing 2n people into n couples then


A

2nN=(2n)!

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B

N(n!)=(1.3.5(2n-1))

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C

N=Cn2n

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D

None of these

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Solution

The correct option is A

2nN=(2n)!


Explanation for correct answer

Number of ways of selecting r people from n people is given by, = Crn

Number of ways, N=(Cn2n)(Cn2n-2).(C22)=(2n)!2n [we know, (Cn2n)(Cn2n-2).(C22)=(2n)!2n]

2nN=(2n)!N=2n!2n

Hence, option A is correct.


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