There is created a permanent joint interim committee of the legislature to be called the “legislative health and human services committee”. The committee shall be composed of eight members. The legislative council shall appoint four members from the house of representatives and four members from the senate. At the time of making the appointment, the legislative council shall designate the chairman and vice chairman of the committee. Members shall be appointed so as to give the two major political parties in each house the same proportionate representation on the committee as prevails in each house; provided, in no event shall either of such parties have less than one member from each house on the committee. Members may be removed from the committee by the legislative council, at the request of the committee chairman, for nonattendance according to council policy. Vacancies on the committee, however caused, may be filled by the legislative council, or the council may reduce the size of the committee by not making replacement appointments and in such case need not readjust party representation. No action shall be taken by the committee if a majority of the total membership from either house on the committee rejects such action.