Step 1: Analyzing the options.
- Samkhya (A) has Three sources of knowledge, corresponding to I.
- Nyaya (B) has One primary source of knowledge, corresponding to II.
- Carvaka (C) recognizes Four sources of knowledge, corresponding to IV.
- Vedanta (D) identifies Six sources of knowledge, corresponding to III.
Step 2: Conclusion.
The correct answer is Option 3.
Final Answer:
\[
\boxed{\text{The correct answer is 3. A - I, B - II, C - IV, D - III.}}
\]