The correct answer is option 3: Ireland. In the Indian Constitution, the method of the election of the President has been taken from Ireland. The President of India is elected through an indirect method, where the President is not elected directly by the citizens but by an electoral college consisting of elected members of both houses of Parliament and the elected members of the Legislative Assemblies of the States.

Although the United States of America (option 2) has a similar indirect method of electing the President through the Electoral College, the Indian Constitution specifically takes inspiration from Ireland (option 3). It is worth noting that India has a parliamentary system of government, similar to that of Britain (option 1), but the method of electing the President is not derived from Britain. Australia (option 4) does not have a President; instead, it has a Prime Minister as the head of government.