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

Question

The logical statement ~ ~ p ∨ q ∨ p ∧ r ∧ ~ q ∧ r is equivalent to, ~ p ∧ ~ q ∧ r, p ∧ r ∧ ~ q, p ∧ ~ q ∨ r, ~ p ∨ r

MARKS App · Accepted Answer

~ ~ p ∨ q ∨ p ∧ r ∧ ~ q ∧ r = p ∧ ~ q ∨ p ∧ r ∧ ~ q ∧ r By distributive law = p ∧ ~ q ∨ r ∧ ~ q ∧ r p ∧ ~ q ∧ r ≡ p ∧ r ∧ ~ q = p ∧ ∼ q ∧ r By Associative law = p ∧ r ∧ ~ q

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