Is it possible to have a drop down on Registration which value = User Group

I'm trying to cut down Profile Types by assigning users to a mandatory User Group I.e "Students" and then on selection of lets say (Student Categories) I.e Music, Arts, Multimedia, Photography, upon the category selection a user would also be assigned to I.e Music User Group.

So we end up with a User that is in User Groups (Students & Music) but music being their own selection!



Is this possible?