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Consider the following statements :
\( S_{1} \) : Negation of \( (\sim p \rightarrow q) \) is \( [\sim(p \vee q)] \wedge[p \vee(\sim p)] \).
\( \mathrm{P} \)
\( S_{2} \) : Negation of \( (p \leftrightarrow q) \) is \( (p \wedge \sim q) \vee(\sim p \wedge q) \).
W
\( S_{3} \) : Negation of \( (p \vee q) \) is \( \sim p \wedge \sim q \).
\( S_{4}: p \leftrightarrow q \) is equivalent to \( (\sim p \vee q) \wedge(p \vee \sim q) \).
State, in order, whether \( \mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{3}, \mathrm{~S}_{4} \) are true or false
(1) TTTT
(2)TFTF
(3)FFTT
(4)FTFT
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