There is created a House of Representatives Legislative Ethics Committee and a Senate Legislative Ethics Committee. Each ethics committee is composed of six members. Terms are coterminous with the term for which members are elected to the House or Senate. Vacancies must be filled for the unexpired term in the manner of the original selection. The members of each ethics committee must be elected by the House or the Senate, as appropriate. One member of each ethics committee must be elected as chairman by a majority of the members of the ethics committee.