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Question
(p ∧ ∼q) ∧ (∼p ∧ q) is a ______.
Options
Tautology
Contradiction
Tautology and contradiction
Contingency
MCQ
Fill in the Blanks
Solution
(p ∧ ∼q) ∧ (∼p ∧ q) is a contradiction.
Explanation:
(p ∧ ∼q) ∧ (∼p ∧ q)
≡ (p ∧ ∼p) ∧ (∼q ∧ q) .......[[Associative and commutative law]
≡ F ∧ F .......[Complement law]
≡ F
∴ Given statement is contradiction.
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