If the truth value of the Boolean expression | vedclass

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Question

$p$
			$q$
			$r$
			$\underbrace{\mathrm{p} \vee \mathrm{q}}_{\mathrm{a}}$
			$\underbrace{\mathrm{q} \rightarrow \mathrm{r}}_{\mathrm{b}}$

Vedclass · Accepted Answer

$\mathrm{T\,F\,F}$

Vedclass · Answer

$p$
			$q$
			$r$
			$\underbrace{\mathrm{p} \vee \mathrm{q}}_{\mathrm{a}}$
			$\underbrace{\mathrm{q} \rightarrow \mathrm{r}}_{\mathrm{b}}$
			$\mathrm{a} \wedge \mathrm{b}$
			$\sim \mathrm{r}$
			$\underbrace{\mathrm{a} \wedge \mathrm{b} \wedge(\sim \mathrm{r})}_{\mathrm{c}}$
			$\underbrace{\mathrm{p} \wedge \mathrm{q}}_{\mathrm{d}}$
			$\mathrm{c} \rightarrow \mathrm{d}$

$T$
			$F$
			$T$
			$T$
			$T$
			$T$
			$F$
			$F$
			$F$
			$T$

$F$
			$F$
			$T$
			$F$
			$T$
			$F$
			$F$
			$F$
			$F$
			$T$

$T$
			$F$
			$F$
			$T$
			$T$
			$T$
			$T$
			$T$
			$F$
			$F$

$F$
			$F$
			$F$
			$T$
			$F$
			$F$
			$T$
			$F$
			$F$
			$T$

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 false then the truth values of the statements $\mathrm{p}, \mathrm{q}, \mathrm{r}$ respectively can be:

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