cooldudeachyut
New member
- Joined
- Nov 6, 2015
- Messages
- 18
Question - A mixed doubles tennis game is to be played between two teams. 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.
My attempt - Well, the number of ways of arranging the men in team 1 is 4, and women should be 3(excluding the man's wife out of 4 females), and in team 2 the number of ways of arranging the men is 3 and women should be 3(including the wife of the man selected in team 1 and two other females), so according to me the answer should be (4*3*3*3)/2! {2! for not considering the team number as a factor}, which is 54 but the answer in my textbook is given 42. Where did I go wrong?
My attempt - Well, the number of ways of arranging the men in team 1 is 4, and women should be 3(excluding the man's wife out of 4 females), and in team 2 the number of ways of arranging the men is 3 and women should be 3(including the wife of the man selected in team 1 and two other females), so according to me the answer should be (4*3*3*3)/2! {2! for not considering the team number as a factor}, which is 54 but the answer in my textbook is given 42. Where did I go wrong?