Which of the following is the correct selection of the team?
Analyze Team Selection Constraints
The problem requires selecting a team of 5 members from 6 men and 6 women, subject to specific conditions. We will evaluate each option against these conditions.
Conditions Recap:
- Team Size: 5 members.
- Cond 1: C and U must be selected together.
- Cond 2: If B is selected, neither U nor Q can be selected.
- Cond 3: Exactly two members must be selected from the group {A, B, S, T}.
- Cond 4: If E is selected, neither S nor B can be selected.
- Cond 5: If A is selected, B must be selected.
Evaluate Each Option
We check each option step-by-step:
Option 1: {C, A, B, P, R}
- Cond 1 Violation: C is selected, but U is not. This violates the rule that C and U must be together.
Result: Invalid.
Option 2: {P, R, S, T, D}
- Team size is 5.
- Cond 1 Check: Neither C nor U is selected. This is consistent (they are together by not being selected).
- Cond 5 Check: A is not selected. Consistent.
- Cond 4 Check: E is not selected. Consistent.
- Cond 2 Check: B is not selected. Consistent.
- Cond 3 Check: S and T are selected. Exactly two members from {A, B, S, T}. Consistent.
Result: All conditions are met. This is a valid selection.
Option 3: {P, R, A, B, S}
- Cond 3 Violation: A, B, and S are selected. This means three members (A, B, S) are selected from the group {A, B, S, T}, violating the "exactly two" rule.
Result: Invalid.
Option 4: {C, U, A, B, S}
- Cond 2 Violation: B is selected, but U is also selected. This violates the rule that if B is selected, U cannot be selected.
Result: Invalid.
Option 5: (No members listed)
Result: Incomplete/Invalid.
Conclusion
Only Option 2 satisfies all the given constraints for team selection.
Similar Questions
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Which of the following is a correct selection of the team? - A team of 5 members is to be selected from 5 men M1, M2, M3, M4 and M5 and 6 women W1, W2, W3, W4, W5 and W6. M5 cannot be selected with W4 or M4. M2 must be selected with M5. M1 cannot be selected with M3. W6 cannot be selected with M2 or W1 or W2. W5 cannot be selected with W6 or W2 or M2.
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