Step 1: Analysis of Philosophical Schools and Epistemological Sources.
- Samkhya (A) posits Three sources of knowledge, aligning with I. - Nyaya (B) identifies One primary source of knowledge, aligning with II. - Carvaka (C) accepts Four sources of knowledge, aligning with IV. - Vedanta (D) recognizes Six sources of knowledge, aligning with III.
Step 2: Determination of Correct Matching. The correct answer is Option 3.
Final Answer: \[ \boxed{\text{The correct answer is 3. A - I, B - II, C - IV, D - III.}} \]