Concept:
The complexity of the design a loom can produce is directly related to how many warp threads it can control independently using heald shafts or individual harness cords.
Step 1: Comparing Hand looms and Tappet looms.
Hand looms for basic weaves typically use 2-4 heald shafts. Tappet looms are used for simple repetitive patterns (like plain or twill) and generally use 8-16 shafts.
Step 2: Comparing Dobby and Jacquard looms.
Dobby looms can produce more complex geometric patterns using up to 32 heald shafts. Jacquard looms, however, do not use shafts; they provide individual warp control, allowing for highly intricate designs.
Step 3: Matching the Lists.
A-IV (Hand loom: 2-4), B-I (Tappet: 8-16), C-II (Dobby: Upto 32), D-III (Jacquard: Individual warp control).