Step 1: Condition of chain entanglement.
- For crystallization, polymer chains must align in a regular pattern.
- If entanglement is high (maximum), chains cannot arrange into ordered structures.
- Hence, crystallization requires minimum entanglement.
Step 2: Molecular arrangement.
- Only polymers with an ordered molecular arrangement (regular and repeating structure) can crystallize.
- Polymers with random arrangement are amorphous and cannot form crystalline regions.
Step 3: Evaluate options.
- (A) Maximum, ordered → incorrect (high entanglement prevents crystallization).
- (B) Minimum, random → incorrect (random structure cannot crystallize).
- (C) Maximum, random → both wrong.
- (D) Minimum, ordered → correct.
Final Answer:
\[
\boxed{\text{(D) minimum, ordered}}
\]