Computer Science · Boolean Logic & Constraint Satisfaction
A committee is to be selected from 5 candidates a, b, c, d, and e under these constraints: • Either a or b is included, but not both • Either c or e or both are included • If d is included, then b must be included • Either a and c are both included, or neither is included • If e is included, then c and d must be included Which Boolean expression represents the valid selection?
- 1ā ∧ b̄ ∧ c ∧ d ∧ ē
- 2ā ∧ b ∧ c ∧ d̄ ∧ e
- 3ā ∧ b̄ ∧ c ∧ d̄ ∧ ē
- 4a ∧ b̄ ∧ c ∧ d̄ ∧ ē✓
Correct answer
a ∧ b̄ ∧ c ∧ d̄ ∧ ē
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