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

(a) 2 . ⁹ C ₂ . ⁷ C ₂ (b) 1512

(c) 3024 (d) None of these

Dear sanchit

out of 9 ,two men can be selected in ⁹ C _{2 ways}

now we can select from 7 women only because 2 women are the wife selected men

  =⁷  C ₂

and from these 2 men and 2 women 4 combination is possible to make a team

so number of game =4 * ⁹ C ₂   ⁷  C ₂

                            =3024

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