The correct option is B III > II > I
Stabilty of carbocation∝+I effect∝1−I effect
The priority order of the factors upon which the strength of inductive effect depends is:
Distance > Number > Power
Hence, the −I effect of −I group will be the least and therefore, the stability of carbocation (III) will be the highest.
Between −CN and −COOH groups, the −I effect of −CN is more due to the higher electron-withdrawing power of the −CN group than −COOH group.
Therefore, the correct order of stability of carbocations is III > II > I.