Correct answer: 5
Evaluate each: cyclooctatetraene (8 pi, tub-shaped) - not aromatic; cyclopropenyl anion (4 pi) - antiaromatic; cyclopropenyl cation (2 pi, n=0) - aromatic; 1,3-cyclohexadiene (not fully conjugated) - not aromatic; tropylium cation (6 pi) - aromatic; cyclopentadienyl cation (4 pi) - antiaromatic; cyclopentadienyl anion (6 pi) - aromatic; the fused bicyclic aromatic and the polycyclic aromatic ring systems - aromatic. Aromatic count = cyclopropenyl cation + tropylium + cyclopentadienyl anion + fused bicyclic + polycyclic = 5.