Ind. Code § 5-1-4-5
(c) Each director shall serve as such until the director's successor is appointed and qualified. In the event that any director shall die, resign, cease to be a resident of the county, city, or town, as the case may be, or be removed, the appointing authority shall appoint another person as director for the remainder of such term. If any person appointed as a director shall fail to qualify within ten (10) days after the mailing to the appointee of notice of the appointment, the appointing authority shall appoint another person as director for the term.
Formerly: Acts 1971, P.L.41, SEC.1; Acts 1972, P.L.10, SEC.1. As amended by Acts 1982, P.L.30, SEC.2; P.L.7-1983, SEC.6; P.L.40-1985, SEC.2; P.L.8-1989, SEC.15; P.L.4-1991, SEC.134.