The officers of a county are:
(1) A sheriff.
(2) A clerk of the district court, who shall be ex officio auditor and recorder, and ex officio clerk of the board of county commissioners.
(3) An assessor.
(4) A prosecuting attorney.
(5) A county treasurer, who shall be ex officio public administrator and ex officio tax collector.
(6) A coroner.
(7) Three (3) members of the board of county commissioners.