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The number of ways in which a mixed doub...

The number of ways in which a mixed double tennis game can be arranged from amongst 9 married couple if no husband & wife plays in the same game is:

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To solve the problem of arranging a mixed double tennis game from 9 married couples such that no husband and wife play in the same game, we can follow these steps: ### Step 1: Understand the Selection Criteria We need to select 2 husbands and 2 wives for the mixed doubles game. Since no husband can play with his wife, we will ensure that the selected wives are not the wives of the selected husbands. ### Step 2: Select the Husbands We have 9 husbands to choose from. The number of ways to choose 2 husbands from 9 can be calculated using the combination formula: \[ ...
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