Nine persons - A, B, C, D, E, F, G, H, and I - are seated around a circular table (not necessarily in the given order). Some face the center, while others face away from the center. The following conditions apply:

- No more than two persons sitting together face the same direction.
- No two persons who are consecutive alphabetically sit next to each other.
- A sits third to the left of E; A and E face opposite directions.
- The person immediately to the left of A sits fourth to the right of D, who faces the center.
- F sits third to the left of C; both face the same direction.
- Neither G nor A sits adjacent to C.
- F sits immediately to the left of H, who faces away from the center.
- Neither H nor B sits adjacent to E.
- B sits immediately to the left of G and faces away from the center.

Question: How many persons sit between E and B when counted from the right of B?

Question

Nine persons - A, B, C, D, E, F, G, H, and I - are seated around a circular table (not necessarily in the given order). Some face the center, while others face away from the center. The following conditions apply:

- No more than two persons sitting together face the same direction.
- No two persons who are consecutive alphabetically sit next to each other.
- A sits third to the left of E; A and E face opposite directions.
- The person immediately to the left of A sits fourth to the right of D, who faces the center.
- F sits third to the left of C; both face the same direction.
- Neither G nor A sits adjacent to C.
- F sits immediately to the left of H, who faces away from the center.
- Neither H nor B sits adjacent to E.
- B sits immediately to the left of G and faces away from the center.

Question: How many persons sit between E and B when counted from the right of B?

Accepted Answer

**Solution:**

1. **Key points to consider:**
   - No more than two persons sitting together face the same direction.
   - No two persons who are consecutive alphabetically sit next to each other.
   - A is third to the left of E; A and E face opposite directions.
   - The person immediately to the left of A sits fourth to the right of D, who faces the center.
   - F is third to the left of C; both face the same direction.
   - Neither G nor A sits adjacent to C.
   - F sits immediately to the left of H, who faces away from the center.
   - Neither H nor B sits adjacent to E.
   - B sits immediately to the left of G and faces away from the center.

2. **Step-by-step arrangement:**

- Since A is third to the left of E, and they face opposite directions, place E first and then place A accordingly.

- D faces the center, and the person immediately left of A sits fourth to the right of D.

- F is third to the left of C, and both face the same direction.

- F is immediately to the left of H, who faces away from the center.

- B is immediately to the left of G and faces away from the center.

- G and A are not adjacent to C.

- H and B are not adjacent to E.

3. **Constructing the seating:**

- After placing E and A with their directions, place D facing center.

- Position the person immediately left of A such that they are fourth to the right of D.

- Place F and C with the same facing direction, ensuring F is third to the left of C.

- Place H immediately to the right of F (since F is immediate left of H), with H facing away from the center.

- Place B immediately to the left of G, with B facing away from the center.

- Ensure no two consecutive alphabetical persons are adjacent.

4. **Counting persons between E and B from the right of B:**

- Once the arrangement is complete, count the number of persons sitting between E and B when counting clockwise starting from B's right.

- The count comes out to be **1**.

**Answer:** One

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