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Which one of the following Boolean expressions is a tautology ?

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

Correct answer: (p ∨ q) ∨ (p ∨ ∼ q)

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