also enrolment, mid-15c., "act of enrolling, official copy or record of a statute," from Anglo-French enrollement, from Old French enroller "record in a register" (see enroll). Meaning "total number enrolled" is from 1859, American English.
mid-14c. (transitive), from Old French enroller "record in a register, write in a roll" (13c., Modern French enrôler), from en- "make, put in" (see en- (1)) + rolle (see roll (n.)). Related: Enrolled; enrolling.