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How many max number of mixed double tennis can be played among four couple if husband & wife are not allowed in a team?

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A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are four married couples. No team is to consist of a husband and his wife.

What is the maximum number of games that can be played?

posted May 27, 2017 by anonymous

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1 Answer

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Let H be husband and W be wife
The possible teams are
(H1,W2), (H1,W3), (H1,W4)
(H2,W1), (H2,W3), (H2,W4)
(H3,W2), (H3,W1), (H3,W4)
(H4,W2), (H4,W3), (H4,W1) ie., 12 teams or a max of 6 matches can be played.

answer May 27, 2017 by Tejas Naik

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