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.

How many persons sit between G and E when counted from left of G?

To find the seating arrangement, we can analyze the clues step-by-step:

1. Analyze the positions of A, I, and H:
We are given that "I is an immediate neighbor of both A and H." This means I must sit directly between A and H. Let us place A at position 2, I at position 3, and H at position 4.

2. Determine the position of B:
We are told that "B is an immediate neighbor of A." Since position 3 (neighbor to A's right) is occupied by I, B must sit at position 1 (neighbor to A's left).

3. Find the position of F:
"Only one person sits between A and F." Since A is at position 2, the positions with exactly one person between them and A are position 4 (occupied by H) and position 9. Therefore, F must sit at position 9 (with B sitting between A and F).

4. Determine the position of G:
"G sits second to the left of H." H is at position 4. Facing the center, the left of H corresponds to the clockwise direction. The first to the left of H is position 5, and the second to the left of H is position 6. Thus, G sits at position 6.
This also satisfies the condition: "Only three people sit between A and G" (I at position 3, H at position 4, and position 5).

5. Determine the position of C:
"C sits third to the right of B." B is at position 1. Facing the center, the right of B corresponds to the counter-clockwise direction. First to the right is position 9 (F), second is position 8, and third is position 7. Therefore, C sits at position 7.

6. Place D and E:
The remaining empty positions are 5 and 8. The remaining people are D and E.
We are given that "F is not an immediate neighbor of D." F is at position 9, meaning D cannot sit at the adjacent position 8. Therefore, D must sit at position 5, leaving position 8 for E.

The final seating arrangement in clockwise order (1 to 9) is:
1: B
2: A
3: I
4: H
5: D
6: G
7: C
8: E
9: F

Answering the question:
We need to find how many persons sit between G and E when counted from the left of G (clockwise direction):
Moving clockwise from G (position 6), we have C at position 7, and then E at position 8.
Therefore, only one person (C) sits between G and E.