The correct option is A III > I > II
Structure III is an aromatic compound because it has a cyclic, planar conjugated system with 6 π-electrons. Therefore, this carbocation is most stable.
Structure II is an anti-aromatic compound because it has a cyclic, planar conjugated system with 4 π-electrons. Therefore, this carbocation is the least stable.
The correct order for the carbocation stability is:
III > I > II