The noun assignment has 6 senses (first 3 from tagged texts)
1. (7) assignment, duty assignment -- (a duty that you are assigned to perform (especially in the armed forces); "hazardous duty")
2. (3) assignment -- (the instrument by which a claim or right or interest or property is transferred from one person to another)
3. (2) assignment, assigning -- (the act of distributing something to designated places or persons; "the first task is the assignment of an address to each datum")
4. grant, assignment -- ((law) a transfer of property by deed of conveyance)
5. assignment -- (an undertaking that you have been assigned to do (as by an instructor))
6. appointment, assignment, designation, naming -- (the act of putting a person into a non-elective position; "the appointment had to be approved by the whole committee")