Step 1: Understand the task.
We must match four substances that affect blood clotting with the correct action each one performs. Getting one wrong wrong-numbers the whole answer, so we check each pair.
Step 2: Match Heparin.
Heparin is a natural anticoagulant. It works by stopping thrombin from acting, so blood does not clot. So A goes with III, inactivates thrombin.
Step 3: Match Tissue thromboplastin.
Tissue thromboplastin, also called Factor III, helps start the clotting chain by turning on Proconvertin, which is Factor VII. So B goes with IV, activates Proconvertin.
Step 4: Match Warfarin.
Warfarin blocks the body from using Vitamin K, and Vitamin K is needed to make clotting factors. So Warfarin acts against Vitamin K. So C goes with I, antagonistic to Vitamin K.
Step 5: Match EDTA.
EDTA grabs and holds calcium ions. Since calcium is needed for clotting, removing it stops a clot from forming. So D goes with II, binds to calcium ions.
Step 6: Combine all pairs.
Putting them together gives A-III, B-IV, C-I, D-II, which matches the third option.
\[ \boxed{\text{A-III, B-IV, C-I, D-II}} \]