If the truth value of the Boolean expression

Question:

If the truth value of the Boolean expression $((\mathrm{p} \vee \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r}) \wedge(\sim \mathrm{r})) \rightarrow(\mathrm{p} \wedge \mathrm{q}) \quad$ is $\quad$ false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:

  1. T F T

  2. F F T

  3. T F F

  4. $\mathrm{F} \mathrm{T} \mathrm{F}$


Correct Option: , 3

Solution:

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