Question

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

• A. A, C, W and Y
• B. A, C, X and Y
• C. A, C, Y and Z
• D. A, W, Y and Z
• A. A, B, C and W
• B. A, B, C and Y
• C. A, B, C and X
• D. A, W, Y and Z
• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The Correct Option is B

Given the conditions, we need to form a team of four players from the available players: A, B, C (males) and W, X, Y, Z (females), with at least 2 males and ensuring players can play together. The constraints are:

• B and W can't play together.
• C and Z can't play together.
• W and Y can't play together.

We know that Y is selected, and B is rejected. We need to select additional players such that no constraints are violated:

1. Select A:
   • No constraints broken; A can play with Y.
2. We need one more male to satisfy the male constraint. C is the only remaining male after rejecting B:
   • C is selected, he can play with Y.
3. Finally, one more player is needed to complete the team of four. X is the remaining option:
   • No constraints are broken, as X can play with A, C, and Y.

Thus, the team will consist of A, C, X, and Y.

Selected Players	Explanation
A	No conflicts with Y
C	Fulfills male requirement and no conflict with Y
X	No conflicts with selected players

The team is therefore: A, C, X, and Y.

Answer 2

To determine the team composition given the constraints, follow these logical steps:

1. Select B: Since player B is selected, according to the given constraints, player W cannot be on the team (B cannot play with W).
2. Reject Y: It is stated that Y is rejected.
3. Minimum Males Requirement: At least 2 males are needed. B is already selected, so we need to choose either A or C. Let's choose C.
4. Verify Compatibility: C cannot play with Z. Hence, Z cannot be on the team.
5. Forming the Team: So far, we have chosen males B and C. We need two females to complete the team.
6. Since W and Y are both ruled out (W cannot be with B, Y is rejected), and Z cannot be with C, only female X remains as a viable option.
7. Select A: With B, C, and X selected, the only available male left is A.

The team is formed as: A, B, C, and X.

The correct answer is:

A, B, C and X

Answer 3

To solve the problem of determining how many four-member teams can be formed when all three males (A, B, C) are selected, we can follow these logical steps:

• We need to select one additional female player to complete the team of four since we already have A, B, and C. The available females are W, X, Y, and Z.
• However, we must consider the play compatibility constraints:
  • B cannot play with W.
  • C cannot play with Z.
• Thus, the only feasible combinations with the remaining females are:
  • A, B, C, X
  • A, B, C, Y
• So, there are two possible combinations when all three males are selected.

Therefore, the correct answer is 2.