Nine persons – A, B, C, D, E, F, G, H, and I – are sitting around a circular table, all facing towards the center. But not necessarily in the same order.
Only one person sits between A and F. C sits third to the right B, who is an immediate neighbor of A. Only three people sit between A and G. G sits second to the left of H. I is an immediate neighbor of both A and H. F is not an immediate neighbor of D.

What is the position of E with respect to A?

To determine the seating arrangement of the nine persons (A, B, C, D, E, F, G, H, and I) around the circular table facing the center, let us analyze the clues step-by-step. Let us designate 9 positions around the circular table numbered 1 to 9 in a clockwise direction.

For any person facing the center of the table:
- Moving clockwise corresponds to moving to their left.
- Moving counter-clockwise corresponds to moving to their right.

Step 1: Place A, G, and H
- "Only three people sit between A and G."
Let us place A at position 1. Since three people sit between A and G, G must be 4 positions away from A (either clockwise or counter-clockwise), which means G is at position 5 or position 6.
- "G sits second to the left of H."
This means H is located second to the right (counter-clockwise) of G. Let us examine the two possible positions for G:
- If G is at position 6: H must be at position 8.
- If G is at position 5: H must be at position 3.

Step 2: Use the position of I
- "I is an immediate neighbor of both A and H."
Since A is at position 1, its immediate neighbors are positions 2 and 9. Therefore, H must share a common neighbor with A (position 2 or 9).
- If H is at position 8 (from G at 6), the neighbors of H are 7 and 9. The only common neighbor with A is 9. Thus, I would be at position 9. But in this case, "G sits second to the left of H" implies H is at 8, and going clockwise (left) by 2 positions brings us to position 1 (A), not G (6). This case is invalid.
- If H is at position 3 (from G at 5), the neighbors of H are 2 and 4. The common neighbor with A is position 2. Thus, I sits at position 2, and H sits at position 3. This arrangement is valid since G (5) is indeed second to the left (clockwise) of H (3).

Step 3: Place F and B
- "Only one person sits between A and F."
A is at position 1, and since I is at position 2, F cannot be at position 3 (which is occupied by H). Thus, F must be placed at position 8 (with position 9 being the single seat between A and F).
- "C sits third to the right of B, who is an immediate neighbor of A."
B is an immediate neighbor of A. Since position 2 is occupied by I, B must be at position 9. Since C sits third to the right (counter-clockwise) of B (9), we count counter-clockwise: 8 (F) is first right, 7 is second right, and 6 is third right. Thus, C is at position 6.

Step 4: Place D and E
- The remaining empty positions are 4 and 7, and the remaining people to place are D and E.
- "F is not an immediate neighbor of D."
Since F is at position 8, D cannot be at position 7. Therefore, D must sit at position 4. This leaves position 7 for E.

Summary of Seating Arrangement (Clockwise, 1 to 9):
1. A
2. I
3. H
4. D
5. G
6. C
7. E
8. F
9. B

Conclusion:
We need to find the position of E with respect to A.
A is at position 1, and E is at position 7. Counting counter-clockwise (to the right) from A (1):
- Position 9 (B) is 1st to the right.
- Position 8 (F) is 2nd to the right.
- Position 7 (E) is 3rd to the right.
Thus, E sits third to the right of A.