Indian Institute of Foreign Trade 2008 Solved Paper

Question : 39 of 150

Marks: +1, -0

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

1514
1512
3024
None of these

Validate

Solution:

There are 9 married couples. Therefore, there will be 9 men and 9 women.
First, let us select the 2 men.
2 men can be selected in 9C2 = 36 ways.
Now, the wives of these 2 men cannot be selected. Therefore, we have to select 2 women from the remaining 7 women.
2 women can be selected in 7C2 = 21 ways.
We have selected 2 men and 2 women. A team should consist of one man and one woman. Therefore, the 2 teams can be formed in 2 ways.
Therefore, the total number of ways in which the team can be selected is

36*21*2=1512.

Therefore, option B is the right answer.

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