Consider the following statements regarding the development of Public Administration:

(i) The term 'Public Administration' was first used by Alexander Hamilton in the early 19th century.

(ii) Woodrow Wilson advocated for establishing administration as an independent and scientific study, free from the influence of politics.

(iii) According to Felix Nigro, Public Administration is limited only to the executive branch of the government.

Which of the above statement(s) is/are true?