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 ot...

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?