Which of the following is equivalent to the Boolean expression p ∧...

Which of the following is equivalent to the Boolean expression $p ∧ ~ q ?</p><p>For option \left(1\right)</p><p>$~ p \to ~ q ≡ p ∨ ~ q$</p><p>$≢ \left(p ∧ ~ q\right)$</p><p>For Option \left(2\right)$

$~ \left(q \to p\right) ≡ ~ \left(~ q ∨ p\right) ≡ q ∧ ~ p$

$≢ \left(p ∧ ~ q\right)$

For option \left(3\right)$</p><p>$~ ( p \to q )$</p><p>$≡ ~ ( ~ p ∨ q )$</p><p>$≡ ( p ∧ ~ q )$</p><p>For option \left(4\right)$

$~ \left(p \to ~ q\right) ≡ ~ \left(~ p ∨ ~ q\right) ≡ p ∧ q$

$≢ \left(p ∧ ~ q\right)$