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The compound statement $$\left( { \sim (P \wedge Q)} \right) \vee \left( {( \sim P) \wedge Q} \right) \Rightarrow \left( {( \sim P) \wedge ( \sim Q)} \right)$$ is equivalent to

JEE · Math · previous-year question

  1. A.$$(( \sim P) \vee Q) \wedge ( \sim Q)$$
  2. B.$$( \sim Q) \vee P$$
  3. C.$$(( \sim P) \vee Q) \wedge (( \sim Q) \vee P)$$
  4. D.$$( \sim P) \vee Q$$

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