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

Here's a step-by-step breakdown: 1. **Given Information:** * Team size: 4 players. * Available: Males (A, B, C), Females (W, X, Y, Z). * Condition: At least 2 males in the team. * Restrictions: B cannot play with W, C cannot play with Z, W cannot play with Y. * Specifics: B is selected, Y is rejected. 2. **Apply Specifics (B selected, Y rejected):** * Since B is selected, the restriction "B cannot play with W" means **W cannot be selected**. * So far, B is in the team. Y and W are out. 3. **Remaining Players for Selection:** * Males: A, C * Females: X, Z * We need to select 3 more players to join B. 4. **Apply "At least 2 males" condition:** * Since B (a male) is already selected, we need at least one more male from {A, C}. * This means we can select either {A} or {C} or {A, C}. 5. **Consider selecting both remaining males (A and C):** * If A and C are selected, the team members so far are {B, A, C}. * We need one more player. The available females are {X, Z}. * Now, check the restriction "C cannot play with Z". Since C is selected, **Z cannot be selected**. * Therefore, the only remaining player that can be selected is **X**. 6. **Form the Team:** * With B, A, C selected, and X being the only compatible female, the team becomes {A, B, C, X}. 7. **Verify the Team {A, B, C, X} against all conditions:** * Team size 4: Yes. * B is selected, Y is rejected: Yes (B is in, Y is not). * At least 2 males: Yes (A, B, C are 3 males). * B cannot play with W: Yes (W is not in the team). * C cannot play with Z: Yes (Z is not in the team). * W cannot play with Y: Yes (W and Y are not in the team). * All conditions are met. 8. **Evaluate Options:** * A) A, B, C and W: Incorrect, because B cannot play with W. * B) A, B, C and Z: Incorrect, because C cannot play with Z. * C) A, B, C and X: Correct, as derived above. * D) A, W, Y and Z: Incorrect, B must be selected. The final answer is C.