If the inverse of the conditional statement $p \to \left( { \sim q\ \wedge \sim r} \right)$ is false, then the respective truth values of the statements $p, q$ and $r$ is
$FFF$
$TFT$
$TTF$
$TTT$
$\sim (p \Leftrightarrow q)$ is
Which of the following Boolean expression is a tautology ?
If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?
Which of the following is an open statement
Statement$-I :$ $\sim (p\leftrightarrow q)$ is equivalent to $(p\wedge \sim q)\vee \sim (p\vee \sim q) .$
Statement$-II :$ $p\rightarrow (p\rightarrow q)$ is a tautology.