For the purposes of representing this state on the governing board authorized by the agreement, there shall be four (4) representatives as follows:
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(1) One (1) member appointed by the President Pro Tempore of the Senate;
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(2) One (1) member appointed by the Speaker of the House of Representatives;
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(3) One (1) member appointed by the Governor; and
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(4) The Secretary of the Department of Finance and Administration or his or her designee.