The clubs in each county shall be held together and operate under the control of a county committee, which shall consist of one member from each club to be elected by the club and shall also include the State Executive Committeeman from such county. The committee, when elected, shall appoint its own officers (except the chairman, who shall be elected by the county convention), who shall not necessarily be members of the committee. A vacancy in the membership of the committee shall be filled by the club through the loss of whose member by death, resignation or otherwise the vacancy occurs, except that if the office of the county chairman shall become vacant by death, resignation or otherwise, the committee may fill the vacancy by electing a chairman to serve until the organization of the next regular county convention. An officer of the county committee who is not a member of the committee shall not be entitled to vote on any question, except the chairman and then only in case of a tie vote. The tenure of office of the committee shall be until the day of the county convention in each general election year.