Papua New Guinea

(1) An office of Prime Minister is hereby established.
(2) The Prime Minister shall be appointed, at the first meeting of the Parliament after a general election and otherwise from time to time as the occasion for the appointment of a Prime Minister arises, by the Head of State, acting in accordance with a decision of the Parliament.
… (Sec. 142)

(1) There shall be such number of Ministers (other than the Prime Minister), not being less than six or not exceeding 32, from time to time, as is determined by or under an Organic Law.
(2) The Ministers, other than the Prime Minister, shall be appointed by the Head of State, acting with, and in accordance with, the advice of the Prime Minister.
… (Sec. 144)

(1) A National Executive Council is hereby established.
(2) The Council shall consist of all the Ministers (including the Prime Minister when he is present as Chairman).
(3) The functions of the Council are-
(a) to be responsible, in accordance with this Constitution, for the executive government of Papua New Guinea; and
(b) such other functions as are allocated to it by this Constitution or any other law.
… (Sec. 149)