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¬ (A ∨ q) ∧ (A ∧ q) is a ___________

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¬ (A ∨ q) ∧ (A ∧ q) is a ___________

(a) Tautology

(b) Contradiction

(c) Contingency

(d) None of the mentioned

I had been asked this question in my homework.

This intriguing question comes from Logics topic in division The Foundation: Logics and Proofs of Discrete Mathematics

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Right option is (b) Contradiction

For explanation I would say: ≡ (¬A ∧ ¬q) ∧ (A ∧ q)

≡ (¬A ∧ A) ∧ (¬q ∧ q)

≡ F ∧ F ≡ F.

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