Question

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

• A. 756
• B. 1512
• C. 3024
• D. None of these

Answer 1

Answer: (B)

1512

Answer 2

Select 2 men from 9 men in ⁹C₂ ways. Then their wives are not to be selected therefore females will be selected from 7 in ⁷C₂ ways. Now we have 2 men and 2 women whence the mixed double can be played in 2 distinct ways.

̃ Total number of ways ⁹C₂ × ⁷C₂ × 2 = 1512