Numerical answer type, tolerance 0.5.
Answer: 3
The ketone shown is 2-methylpentan-3-one. Deprotonation of the tertiary CH gives one enolate, CHX3CHX2C(OX−)=C(CHX3)X2, which has two identical methyl groups on one carbon and so no E/Z isomerism. Deprotonation of the CH2 gives CHX3CH=C(OX−)CH(CHX3)X2, which exists as E and Z isomers. The total is 1+2=3, confirmed by RDKit enumeration.