1.Find the number of ways in which a mixed double tennis game can be arranged between 10 players con

Mohamed Mooney

Mohamed Mooney

Answered question

2022-06-15

1.Find the number of ways in which a mixed double tennis game can be arranged between 10 players consisting of 6 men and 4 women.
2.Find the number of ways in which a mixed double game can be arranged from amongst nine married couples, if no husband and wife play in the same game.

Answer & Explanation

Govorei9b

Govorei9b

Beginner2022-06-16Added 21 answers

The answer to ( 1 ) is 2 C ( 6 , 2 ) C ( 4 , 2 ) (and not with a 4), since M 1 , W 1 playing M 2 , W 2 is the same as M 2 , W 2 playing M 1 , W 1 . I don't think the question wants you to take account of which end they're playing from. You've made a similar error in part( 2).
To make it more clear you've included a factor 2 for swapping the women over, say, in our set of four people, and then included another factor of 2 for swapping the men over, but have of course ended up with the same match when both swaps have taken place.

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