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If $\mathrm{p}$ and $\mathrm{q}$ are true statements and $\mathrm{r}$ and $s$ are false statements, then the truth values of the statement patterns $(p \wedge q) \vee r$ and $(\mathrm{p} \vee \mathrm{s}) \leftrightarrow(\mathrm{q} \wedge \mathrm{r})$ are respectively
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The correct answer is:
$\mathrm{T}, \mathrm{F}$
$\begin{array}{ll}(\mathrm{p} \wedge \mathrm{q}) \vee \mathrm{r} & (\mathrm{p} \vee \mathrm{s}) \leftrightarrow(\mathrm{q} \wedge \mathrm{r}) \\ \equiv(T \wedge \mathrm{T}) \vee \mathrm{F} & \equiv(\mathrm{T} \vee \mathrm{F}) \leftrightarrow(\mathrm{T} \wedge \mathrm{F}) \\ \equiv \mathrm{T} \vee \mathrm{F} & \equiv \mathrm{T} \leftrightarrow \mathrm{F} \\ \equiv \mathrm{T} & \equiv \mathrm{F}\end{array}$
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