Solution

The correct answer is A - II, B - I, C - III, D - IV

EXPLANATION:

Option A: P ∧ (P → Q)

• P  ∨  ¬ P ∨ Q
• P ∧ ¬ P ∨ P ∨ Q
• This Propositions match from Disjunctive Normal Form list option II

Option B: ¬ (P ∨ Q) → (P ∧ Q)

• ¬ ¬ (P ∨ Q) v (P ∧ Q)
• (P ∨ Q) v (P ∧ Q)
• (P ∨ Q)
• This Propositions match from Disjunctive Normal Form list option I

Option C: P → Q

• P → Q
• ¬ P ∨ Q
• This Propositions match from Disjunctive Normal Form list option III

Option D: P ∨ (Q ∧ R)

• P ∨ (Q ∧ R)
• (P ∧ P) ∨ (P ∧ Q) ∨ (P ∧ R) ∨ (Q ∧ R)
• This Propositions match from Disjunctive Normal Form list option IV