Step 1: Understanding the Concept:
We must check each option against the constraints: (A,S), (C,E) must be together; (P,R), (D,Q), (R,B) cannot be together. The team must have exactly 2 boys and 3 girls.
Step 2: Detailed Explanation:
- Option (a): A, B, S, P, Q (Boys: A, B. Girls: S, P, Q). Condition (1) A and S together is met. However, B is a boy, but there is no rule excluding this yet. Let's check others.
- Option (b): D and Q are together. Violates (3).
- Option (c): D and Q are together. Violates (3).
- Option (d): Boys: C, E. Girls: S, P, Q. (C,E) are together. (A,S) is not met? Wait, the rule is "A and S have to be together," meaning if A is there, S must be there and vice-versa. Since A is not there, S can be there alone? No, they usually act as a pair. Let's re-examine (d): C, E (Boys), S, P, Q (Girls).
Step 3: Calculation:
In (d), if S is present, A must be present. Since A is a boy and C, E are boys, that would make 3 boys. This implies S cannot be in a 2-boy team unless A is one of them. Looking at the options again, (d) is the only one that doesn't violate "cannot" rules, assuming the (A,S) rule means "If A is selected, S must be; if S is selected, A must be." If we strictly follow 2 boys: Option (a) has A, B (Boys) and S, P, Q (Girls). All rules met!
Step 4: Final Answer:
The team is A, B, S, P, Q. Thus, the correct option is (a).