All voting systems adopted under this chapter by the chief election officer or the legislature shall satisfy the following requirements:
(1) It shall secure to the voter secrecy in the act of voting;
(2) It shall provide for voting for all candidates of as many political parties as may make nominations, nonpartisans, and for or against as many questions as are submitted;
(3) It shall correctly register or record and accurately count all votes cast for any and all persons, and for or against any and all questions.