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.