During the month of January 2021, and by January 31 of each tenth year thereafter, a five-member districting committee shall be appointed. The county council shall appoint four persons to the committee, two members from each of the two largest major political parties as defined in state law from a list of five submitted by the party’s central committee, the four members to appoint the fifth voting member who shall be chair. Members of the districting committee shall serve without salary but shall be compensated for reasonable-out-of-pocket expenses. The districting committee shall appoint a districting master who shall be qualified by education, training and experience to draw a redistricting plan. If the districting committee is unable to agree upon the appointment of a districting master by April 1, the county council shall appoint a districting master.