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Question
The statement pattern p ∧ (∼p ∧ q) is ______.
Options
a tautology
a contradiction
equivalent to p ∧ q
equivalent to p ∨ q
MCQ
Fill in the Blanks
Solution
The statement pattern p ∧ (∼p ∧ q) is a contradiction.
Explanation:
p ∧ (∼p ∧ q)
≡ (p ∧ ∼p) ∧ q ......[Associative law]
≡ F ∧ q ......[Complement law]
≡ F .......[Identity law]
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