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, Band 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 Y is selected and B is rejected, the team will consist of which one of the following groups?

Here's a step-by-step breakdown: 1. Given: Y is selected and B is rejected. 2. Constraint: At least 2 males must be in the team. Since B is rejected, the only way to have at least 2 males is to select both A and C. So far, the team members are A, C, Y. 3. We need one more player for the team of four. The remaining available females are W, X, Z (Y is already selected). Now, let's check the conflicts for each potential fourth player with the current team (A, C, Y): * If W is selected: The team would be A, C, Y, W. Conflict: W cannot play with Y. So, W cannot be selected. * If Z is selected: The team would be A, C, Y, Z. Conflict: C cannot play with Z. So, Z cannot be selected. * If X is selected: The team would be A, C, Y, X. There are no conflicts involving X (B cannot play with W, C cannot play with Z, W cannot play with Y). This team is valid. Therefore, the team must consist of A, C, X, and Y. Analyzing the options: A) A, C, W and Y: Invalid because W cannot play with Y. B) A, C, X and Y: This matches our derived team and has no conflicts. C) A, C, Y and Z: Invalid because C cannot play with Z. D) A, W, Y and Z: Invalid because it only has one male (A), violating the "at least 2 males" rule, and also W cannot play with Y, and C (who should be there) cannot play with Z. The final answer is B.