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The logical statement ∼ ∼ p ∨ ∼ q ∨ p ∧ r ∧ q ∧ r is equivalent to

Options

  1. Ap ∧ q ∨ r
  2. B∼ p ∨ r
  3. C∼ p ∧ q ∧ r
  4. Dp ∧ r ∧ q

Correct answer

D. p ∧ r ∧ q

Step-by-step solution

(( ( p q) (p r)) ( q r) ) (=((p q) (p r)) ( q r) ) (=(p ( q r)) ( q r) ) (=p ( q r)=p ( q) r )

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