A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this 7 players are available : males A, B and C: and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with’ each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y. If B is selected and Y is rejected. if all the there males are selected , then how many combination of four member teams are possible ?

Options

A. a. 1
B. b. 2
C. c. 3
D. d. 4

Answer

B

Explanation

If all three males are selected then three of the team members are A, Band C. Now, W cannot be part of the team beacause she cannot play with B and Z cannot be selected because she cannot play with C. Hence, there can be only two combinations of four member teams, i.e., ABCX and ABCY