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What is the contrapositive of the statement p → ¬(q → ¬r)?

1. (~q ∧ r) → ~p
2. (q → r) → ~p
3. (q ∨ ~r) → ~p
4. None of these

Correct answer: None of these

Solution

The contrapositive of a statement has the form ~q → ~p, where q is the conclusion and p is the hypothesis. In this case, the original statement's structure does not yield any of the provided options as a valid contrapositive, confirming that 'None of these' is the correct choice.

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