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Which of the following statement is a tautology ?

1. ((~ q) ∧ p) ∧ q
2. ((~ q) ∧ p) ∧ (p ∧ (~ p))
3. ((~ q) ∧ p) ∨ (p ∨ (~p))
4. (p ∧ q) ∧ (~ (p ∧ q))

Correct answer: ((~ q) ∧ p) ∨ (p ∨ (~p))

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