Consider the following statement : 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 equivalently expressed as :

Question

$\begin{array}{1 1} \sim Q \leftrightarrow \sim P \wedge R \\ \sim Q \leftrightarrow \sim P \vee R \\ \sim Q \leftrightarrow P \vee\sim R \\ \sim Q \leftrightarrow P \wedge \sim R \end{array}$