Question

If p, q, r be three statement, then $(p\to (q\to r\left)\right)\leftrightarrow \left(\right(p\Lambda q)\to r)$ is a

• A. Tautology
• B. Fallacy
• C. Neither tautology nor fallacy
• D. None of these

Answer 1

The correct option is A Tautology

$p\to (q\to r)\equiv p\vee (q\to r)$
$\equiv p\vee (\sim q\vee r)\equiv [p\vee (q\left)\right]\vee r$
$\equiv (p\wedge q)\vee r\equiv (p\vee q)\to r$