A mixed doubles tennis game is to be played between two teams (each team consists of one male and one female). There are 4 married couples. No team is to consist of a husband and his wife. What is the maximum number of games that can be played?
Correct Answer is: 12
Let two husbands A & B, out of 4 husbands can be selected in 4C2 = 6 ways
Leaving wife of A & B, remaining 2 wives(C&D) can be selected in 2C2 = 1 way
Rohit has five friends: 3 girls and 2 boys. Rohit's wife also has 5 friends: 3 boys and 2 girls. In how many maximum number of different ways can they invite 2 boys and 2 girls such that two of them are Rohit's friends and two are his wife's?
Correct Answer is: 46
Case1: Rohit invites 1 boy, 1 girl. His wife invites 1 B 1 G