The State‘s Attorney committee for each group of counties which jointly elect a State’s Attorney and the Superintendent of Multi-County Educational Service Region committee for each group of counties which jointly elect a Superintendent of a Multi-County Educational Service Region shall consist of the chairmen of the county central committees of the counties composing such group of counties. In the organization and proceedings of a State’s Attorney or Superintendent of Multi-County Educational Service Region committee, each chair of a county central committee shall have one vote for each ballot voted in his or her county by the primary electors of his or her party at the last primary of an even-numbered year.