Permutation and CombinationHard

Question

The number of ways in which a mixed double tennis game can be arranged from amongst 9 married couple if no husband & wife plays in the same game is:

Options

A.756
B.3024
C.1512
D.6048

Solution

There are 9 married couple so first we select 2
man out of 9 and then we select 2 women out of
rest 7 then, we arranged them, so required no. is 9C2 × 7C2 × 2! = 3 6× 21 × 2 = 1512 

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