But If you count again you will find out that there are 8 tertiary carbon atoms !!See, the molecule given has a lot of C=C bonds ... but only the tertiary alkenes will oxidise to give ketones ... (the secondary alkenes will oxidise to give aldehyde which further get oxidised to form acids. The primary ones give CO2) ... tertiary alkenes is when a C in the C=C double bond is attached to 3 other Carbon atoms ... if u look at the molecule carefully, u will see that there are 6 tertiary alkenes.
Try