The statement $p \rightarrow (q \rightarrow p)$ is equivalent to
$p \rightarrow (p \rightarrow q)$
$p \rightarrow (q\, \vee \, p)$
$p \rightarrow (q\, \wedge p)$
$p \rightarrow (p \leftrightarrow q)$
Let $p$ and $q$ denote the following statements
$p$ : The sun is shining
$q$ : I shall play tennis in the afternoon
The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is
Which of the following Boolean expressions is not a tautology ?
The compound statement $(\mathrm{P} \vee \mathrm{Q}) \wedge(\sim \mathrm{P}) \Rightarrow \mathrm{Q}$ is equivalent to:
The negation of the statement
''If I become a teacher, then I will open a school'', is