Which one of the following is a tautology ?

Question:

Which one of the following is a tautology ?

 

  1. $P \wedge(P \vee Q)$

  2. $P \vee(P \wedge Q)$

  3. $\mathrm{Q} \rightarrow(\mathrm{P} \wedge(\mathrm{P} \rightarrow \mathrm{Q}))$

  4. $(\mathrm{P} \wedge(\mathrm{P} \rightarrow \mathrm{Q})) \rightarrow \mathrm{Q}$


Correct Option: , 4

Solution:

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