Section 4. Each city, ward and town committee shall within ten days after the thirtieth day next following the election of its members, meet and organize by the choice of a chairman, a secretary, a treasurer and such other officers as it may decide to elect; provided that members of said committee elected in nineteen hundred and seventy-six shall meet and organize within ten days after May fifteenth, nineteen hundred and seventy-six. At such meeting a ward or town committee may add to its elected members; provided, that by so doing the total number of members shall not be made to exceed the number determined under section nine. Ward and town committees may appoint associate members by vote at any meeting. Associate members shall not have the right to vote but shall have such other powers and duties as the ward or town committee may determine. In case there is a failure of election of a ward or town committee, the city committee or the state committee, respectively, of the political party which said ward or town committee represents shall appoint from among the voters qualified therefor the members of such committee and shall call a meeting for its organization, in such call appointing a time for holding the same and naming a person to preside thereat. If a ward committee or a city or town committee fails to meet within the time prescribed by this section and organize, the city committee or the state committee, respectively, of the political party which such ward, city or town committee represents shall call a meeting for its organization, in such call appointing a time for holding the same and naming a person to preside thereat. In the event that a ward or town committee fails to meet at the time appointed as aforesaid and organize, the election of each of its members shall be void and the same proceedings shall be had as is herein provided in the case of a failure of election.