At its fall state convention each political party may nominate 2 candidates for membership on the board of regents of the University of Michigan, 2 candidates for membership on the board of trustees of Michigan State University and 2 candidates for membership on the board of governors of Wayne State University. Nomination to membership on the board of regents of the University of Michigan shall occur in 1966 and every second year thereafter. Nomination to the board of trustees of Michigan State University and to the board of governors of Wayne State University shall occur in 1964 and every second year thereafter.