Consider the following statements\\
$P$: Suman is brilliant\\
$Q$: Suman is rich\\
$R$: Suman is honest\\
The negation of the statement ``Suman is brilliant and dishonest if and only if Suman is rich'' can be expressed as\\
(1) $\sim(\mathrm{Q}\leftrightarrow(\mathrm{P}\wedge\sim\mathrm{R}))$\\
(2) $\sim Q\leftrightarrow\sim P\wedge R$\\
(3) $\sim(P\wedge\sim R)\leftrightarrow Q$\\
(4) $\sim P\wedge(Q\leftrightarrow\sim R)$