There are various synonyms for the term "power of appointment". Some of the frequently used words include "authority to designate", "discretionary power", "selection ability", "nominal authority", "privilege of delegation", and "right to choose". These terms essentially refer to the power or right given to a person to select or appoint someone to a particular position or task. The power of appointment can be formal or informal, and it may be given to individuals, committees, or boards depending on the context. Overall, whatever synonym is used, the power of appointment essentially refers to the ability to make choices or decisions about appointments.