Question
The number of ways in which a mixed double game can be arranged from amongst 9 married couple if no husband and wife play in the same game is

756

1512

3024

None of these
easy
Solution
1512
We can choose two men out of 9 in ^{9}C_{2} ways. Since no husband and wife are to play in the same game, to women out of the remaining 7 can be chosen in ^{7}C_{2} ways. If M_{1}, M_{2}, W_{1} and W_{2} are chosen, then a team may consist of M_{1} and W_{1} or M_{1} and W_{2}. Thus, the number of ways of arranging the game is
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