Australia

There shall be a Federal Executive Council to advise the Governor-General in the government of the Commonwealth, and the members of the Council shall be chosen and summoned by the Governor-General and sworn as Executive Councillors, and shall hold office during his pleasure. (Sec. 62)

The Governor-General may appoint officers to administer such departments of State of the Commonwealth as the Governor-General in Council may establish.
Such officers shall hold office during the pleasure of the Governor-General. They shall be members of the Federal Executive Council, and shall be the Queen’s Ministers of State for the Commonwealth.
… (Sec. 64)