To match the artists with their respective art forms, we will identify each artist and his/her associated art form:
- Amrita Shergill is well-known for her work in Painting.
- T. Swaminathan Pillai is recognized for his talent with the Flute.
- Kalamandalam Krishnan Nair is associated with the traditional dance form Kathakali.
- Padma Subramanian is renowned for her contributions to Bharatanatyam.
Aligning these identifications with the corresponding options, we find the correct match:
| a. Amrita Shergill | 3. Painting |
| b. T. Swaminathan Pillai | 1. Flute |
| c. Kalamandalam Krishnan Nair | 2. Kathakali |
| d. Padma Subramanian | 4. Bharatanatyam |
The correct order is therefore: 3 1 2 4.