Math miscellaneousHard

Question

There are n married couples at a party. Each person shakes hand with every person other than her or his spouse. The total number of hand shakes must be :-

Options

A.2nC2-1
B.2nC2 - (n - 1)
C.2n(n - 1)
D.2nC2

Solution

2nC2 - n = - n = 2n(n - 1)

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