The chairperson of the election board may appoint a team of counters to assist with the counting of the ballots in each precinct where the election supervisor considers it necessary. The appointments may be made from among the qualified voters in the precincts in which they reside, and may be made at any time before the completion of the precinct count. There shall be four counters on each counting team, no more than two of whom may be of the same political party.