For the statements $p$ and $q$, consider the following compound statements:\\
$( a ) ( \sim q \wedge ( p \rightarrow q ) ) \rightarrow \sim p$\\
(b) $( ( p \vee q ) \wedge \sim p ) \rightarrow q$\\
Then which of the following statements is correct?\\
(1) (b) is a tautology but not (a).\\
(2) (a) and (b) both are tautologies.\\
(3) (a) and (b) both are not tautologies.\\
(4) (a) is a tautology but not (b).