Sec. 5. (a) For each vacancy, the appointing authority may do one (1) of the following:
(1) Appoint one (1) of the three (3) candidates submitted by the governing board.
(2) Request and receive from the governing board a second list of three (3) candidates.
(3) Appoint an individual who meets the requirements concerning board members and who was not named in the initial list submitted by the governing board.
(b) If the appointing authority requests and receives a second list of three (3) candidates under subsection (a)(2), the appointing authority may do one (1) of the following:
(1) Appoint one (1) of the three (3) candidates named in the second list.
(2) Appoint an individual who meets the requirements concerning board members and who was not named in the second list of three (3) candidates submitted by the governing board.
(c) The appointment for a vacancy shall be made within sixty (60) days of the submission of the initial list of candidates under section 4 of this chapter.