(a) The term of office of committee members and alternates shall be for two years beginning on the first day of June and continuing through May 31. The terms of office of members and alternates shall be so determined that one-half of the total committee membership shall terminate each May 31.

(b) Committee members and alternates shall serve during the term of office for which they are selected and have qualified, or during that portion thereof beginning on the date on which they qualify during the current term of office and continuing until the end thereof, and until their successors are selected and have qualified.