A permanent committee, designated the Local Government Study Committee, consisting of twelve members is hereby created to be appointed as follows: Four shall be appointed by the President of the Senate from the membership of that body, four shall be appointed by the Speaker of House of Representatives from the membership of that body, and four shall be appointed by the Governor. Terms of the members shall be for two years and appointing authorities are requested to reappoint eligible members to provide continuity of the studies of the committee. The committee shall meet as soon as practicable after appointment and shall organize itself by electing one of its members as chairman and such other officers as the committee may deem necessary. Thereafter, the committee shall meet on the call of the chairman or a majority of the members.