Study the following information to answer the given question
8 players A, B, C, D, E, F, G and H from two different teams X and Y (4 players each) are seated around a square table - two on each side. Players from team X are facing towards the centre and players from team Y are facing away from the centre.
Only one player of team X has both the neighbours from team Y while none of the players from team Y has both the neighbours from team X.
Both the neighbours of A are from his own team. C and F belong to team Y and only E is sitting between them. G is facing away from the centre and is third to the left of H. B has a player from his own team on his immediate left.
Who amongst the following cannot be a neighbour of F?
Both A and G
Both A and B