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Solutions
1) Only two people sit between A and D (either from left or right).
2) D sit second to the left of C.
3) Only three people sit between C and B
4) One people sit between B and G (either from left or right).
5) H sits third to the right of G
6) E sits second to the left of F
Here, we have two possible cases i.e. Case 1 and Case 2:
Case 1 Case 2

Here, Case 2 gets eliminated.
Here, we have the final arrangement:

Hence, four people sits between F and B when counted from the right of B.