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:

Explanation

Out of 9 women can be selected two men from remaining 7 men, which can be done in `""^(7)C_(2)` ways. If `M_(1),M_(2),W_(1),W_(2)` are selected , then a team can be formed in 4 ways- `M_(1)W_(1), M_(1)W_(1),M_(2)W_(1),M_(2)W_(2)`. Thus the total number of ways of arranging the game
`=""^(9)C_(2)xx""^(7)C_(2)xx2=1512`