If the truth value of the statement \( (P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q) \) is \....

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If the truth value of the statement
\( \mathrm{P} \)
\( (P \wedge(\sim R)) \rightarrow((\sim R) \wedge Q) \) is \( \mathrm{F} \), then the truth value of which of the following is \( F \) ?
(1) \( \mathrm{P} \vee \mathrm{Q} \rightarrow \sim \mathrm{R} \)
(2) \( \mathrm{R} \vee \mathrm{Q} \rightarrow \sim \mathrm{P} \)
(3) \( \sim(\mathrm{P} \vee \mathrm{Q}) \rightarrow \sim \mathrm{R} \)
(4) \( \sim(\mathrm{R} \vee \mathrm{Q}) \rightarrow \sim \mathrm{P} \)


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