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In how many ways can a lawn tennis mixed double be made up from seven married couples if no husband and wife play in the same set?

In how many ways can a lawn tennis mixed double be made up from seven married couples if no husband and wife play in the same set?
 

Grade:11

1 Answers

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137 Points
6 years ago
For a mixed double match we can select 2 man from 7 and 2 women from 5 , and after we can arrange it in such a way that no husband and wife will play in same match as (7C2×5C2)×2factorial

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