Question 112

In a sports meet for senior citizens organized by the Rotary Club in Kolkata, 9 married couples participated in Table Tennis mixed double event. The number of ways in which the mixed double team can be made, so that no husband and wife play in the same set, is

Solution

In match we have to select 2 men and 2 women such that there is no couple.
2 men can be selected in 9C2 way = 36
Now 2 women has to be selected such that they are these 2 men's wife and that can be done in 7C2 ways = 21
Thus, the total number of ways in which a match can be played = 36*21 = 756
2 teams can be formed and thus, the required answer is 756*2 = 1512.
Hence, option A is the correct answer.

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IIFT 2013 Question Paper

In a sports meet for senior citizens organized by the Rotary Club in Kolkata, 9 married couples participated in Table Tennis mixed double event. The number of ways in which the mixed double team can be made, so that no husband and wife play in the same set, is

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