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Examine whether the following statement pattern is a tautology or a contradiction or a contingency. (p ∧ q) → (q ∨ p) -

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प्रश्न

Examine whether the following statement pattern is a tautology or a contradiction or a contingency.

(p ∧ q) → (q ∨ p)

योग

उत्तर

p q p ∧ q q ∨ p (p ∧ q) → (q ∨ p)
T T T T T
T F F T T
F T F T T
F F F F T

All the entries in the last column of the above truth table are T.

∴ (p ∧ q) → (q ∨ p) is a tautology.

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