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p ↔ q is logically equivalent to ________

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p ↔ q is logically equivalent to ________

(a) (p → q) → (q → p)

(b) (p → q) ∨ (q → p)

(c) (p → q) ∧ (q → p)

(d) (p ∧ q) → (q ∧ p)

This question was posed to me in an online quiz.

The doubt is from Logics topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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Correct choice is (c) (p → q) ∧ (q → p)

The explanation: (p ↔ q) ↔ ((p → q) ∧ (q → p)) is tautology.

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