(1) The city selection committee of each county which is included within an authority shall meet within one month after the activation of such authority for the purpose of making its initial appointments to the board of such authority and thereafter whenever necessary for the purpose of making succeeding appointments. All meetings shall be held upon at least two weeks written notice to each member of the city selection committee of each county and he or she shall give such notice upon request of any member of such committee. A similar notice shall be given to the general public by a publication of such notice in a newspaper of general circulation in such authority. The authority shall act as recording officer, maintain its records, and give appropriate notice of its proceedings and actions.

(2) As an alternative to meeting in accordance with subsection (1) of this section, the authority may administer the appointment process through the mail.

(a) At least four months prior to the expiration of the term of office, the authority must mail a request to each of the members of the city selection committee seeking nominations to the office. The members of the selection committee shall return the nomination to the authority at its official address within fourteen days.

(b) If an unexpected vacancy occurs, the authority must, within thirty days after becoming aware of the vacancy, mail a request to each of the members of the city selection committee seeking nominations to the office. The members of the city selection committee shall return the nomination to the authority at its official address within fourteen days after the request was made.

(c) Within five business days of the close of the nomination period, the authority will mail ballots by certified mail to each of the members of the city selection committee, specifying the date by which to return the completed ballot which is the last day of the third month prior to the expiration of the term of office. Each mayor who chooses to participate in the balloting shall mark the choice for appointment, sign the ballot, and return the ballot to the authority. Each completed ballot shall be date-stamped upon receipt by the mayor or staff of the mayor of the city or town. The timely return of completed ballots by a majority of the members of each city selection committee constitutes a quorum and the common choice by a majority of the quorum constitutes a valid appointment.

(3) At least two weeks' written notice must be given by the authority to each member of the city selection committee prior to the nomination process. A similar notice shall be given to the general public by publication in a newspaper of general circulation in the authority. A single notice is sufficient for both the nomination process and the balloting process.