Which of the following Boolean expression is a tautology?

Question:
Which of the following Boolean expression is a tautology?

$(p \wedge q) \vee(p \vee q)$
$(\mathrm{p} \wedge \mathrm{q}) \vee(\mathrm{p} \rightarrow \mathrm{q})$
$(\mathrm{p} \wedge \mathrm{q}) \wedge(\mathrm{p} \rightarrow \mathrm{q})$
$(p \wedge q) \rightarrow(p \rightarrow q)$

Correct Option: , 4

Solution:

$(\mathrm{p} \wedge \mathrm{q}) \rightarrow(\mathrm{p} \rightarrow \mathrm{q})$ is tautology

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