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Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.”

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Which rule of inference is used in each of these arguments, “If it is Wednesday, then the Smartmart will be crowded. It is Wednesday. Thus, the Smartmart is crowded.”

(a) Modus tollens

(b) Modus ponens

(c) Disjunctive syllogism

(d) Simplification

I have been asked this question in class test.

The above asked question is from Logics topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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Correct choice is (b) Modus ponens

Best explanation: (M ∧ (M → N)) → N is Modus ponens.

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