74. 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) ~P

∧ (Q ↔ ~ R) (2) ~ (Q ↔ (P ∧ ~ R))

(3) ~ Q

↔ ~ P ∧ R (4) ~ (P ∧ ~ R) ↔ Q

suman is brillaint = p .. dis honest = -r so both of these joind by and means (p ^-r) suman is rich =Q  as iff and only iff is used we need to join these 2 by a double arrow .. { (p^-r)bimpliesq } as they have asked the negation so add a minus sign to the whole statement ... - {(p^-r)bimplies q}  which is option 2

can you tell me from which chapter this question has been taken?

THIS QUESTION IS FROM THE CHAPTER STATEMENTS AND SETS