Which of the following Boolean expression is a tautology ?

Question:

Which of the following Boolean expression is a tautology ?

  1. (1) $(\mathrm{p} \wedge \mathrm{q}) \vee(\mathrm{p} \vee \mathrm{q})$

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

  3. (3) $(p \wedge q) \wedge(p \rightarrow q)$

  4. (4) $(\mathrm{p} \wedge \mathrm{q}) \rightarrow(\mathrm{p} \rightarrow \mathrm{q})$


Correct Option: 4,

Solution:

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

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