Consider the following statements P: Suman is brilliant.Q: Suman is rich.R: Suman is honest.The negative of the statement. "Suman is brilliantand dishonest if and only if Suman is rich" can beexpressed as (a) `~(Q <-> (0 P ~ R)` (b) `~ Q <-> R ^^ R` (c) `~ (P ^^ ~ R) <-> Q` (d) `~ P ^^ (Q <-> ~R)`