Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
s adhithya s Grade:

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?

7 years ago

Answers : (2)

Askiitians Expert Sahil Arora - IITD
19 Points

Dear  s adhithya

In mixed doubles, there are 2 men and 2 women..

2 men out of 9 can be selected in 9cways.

now we can only set 2 women out of 7.bec two the selected two men's wife can't play in a match

so in 7cwe can select women

now there are 2 men and 2 women M1, M2, W1,W2

possible combinatoin:

M1W1  and M2W2

M1W2 and M2W1..

so 2 possible combination..

hence answer= 9c*  7c*2

Please feel free to post as many doubts on our discussion forum as you can. If you find any question 
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We 
are all IITians and here to help you in your IIT JEE preparation. 

All the best s adhithya !!!


Askiitians Experts

Sahil Arora
7 years ago
s adhithya s
4 Points

Dear Sir,

I still have a doubt after seeing your reply. The answer you have given is what i arrived at myself on encountering the question in my bitsat sample paper, but on 2nd thoughts, i felt that besides the case of 2 men being chosen out of 9 and then 2 women being selected out of 7, there is also the possible case of 2 women being selected out of 9 and then  2 men being selected out of 7 and also the third case of 2 men being selected out of eight and then 2 women being selected out of 8 , i.e, a husband from 1 couple and a wife from another couple sit out. why aren't these 2 cases being considered?

7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details