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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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

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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