Which of the following is a tautology?

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

\left(~ p ∧ p\right) ∨ \left(~ p ∧ q\right) \to q$</p><p>$c ∨ \left(~ p ∧ q\right) \to q$(where$c$is contradiction)</p><p>\left(~ p ∧ q\right) \to q$

$~ \left(~ p ∧ q\right) ∨ q$

$= \left(p ∨ ~ q\right) ∨ q = p ∨ t = t$

\left(C\right) \left(~ q\right) ∨ \left(p ∧ q\right) \to q$</p><p>$= \left(~ q ∨ p\right) ∧ \left(~ q ∨ q\right) \to q$</p><p>$= \left(~ q ∨ p\right) \to q$</p><p>$= \left(q ∧ ~ p\right) ∨ q = q = q$</p><p>\left(B\right)$ and $\left(D\right)$