Consider the following statements:P : Suman i | vedclass

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(A) Let the given statements be:$P :$ Suman is brilliant$Q :$ Suman is rich$R :$ Suman is honestThe statement "Suman is brilliant and dishonest" is re

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$\sim (Q \leftrightarrow (P \wedge \sim R))$

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(A) Let the given statements be:$P :$ Suman is brilliant$Q :$ Suman is rich$R :$ Suman is honestThe statement "Suman is brilliant and dishonest" is represented as $(P \wedge \sim R)$.The statement "Suman is brilliant and dishonest if and only if Suman is rich" is represented as $(P \wedge \sim R) \leftrightarrow Q$.Since the biconditional operator is commutative,this is equivalent to $Q \leftrightarrow (P \wedge \sim R)$.The negation of a statement $S$ is denoted by $\sim S$.Therefore,the negation of the given statement is $\sim (Q \leftrightarrow (P \wedge \sim R))$.

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:

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Consider the following statements:$P :$ Suman is brilliant$Q :$ Suman is rich$R :$ Suman is honestThe negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as: