The multimember student board which is the governing body of the recognized student association at a given campus of a public institution of higher education is hereby declared to be subject to the provisions of the open public meetings act as contained in this chapter, as now or hereafter amended. For the purposes of this section, "recognized student association" shall mean any body at any of the state's colleges and universities which selects officers through a process approved by the student body and which represents the interests of students. Any such body so selected shall be recognized by and registered with the respective boards of trustees and regents of the state's colleges and universities: PROVIDED, That there be no more than one such association representing undergraduate students, no more than one such association representing graduate students, and no more than one such association representing each group of professional students so recognized and registered at any of the state's colleges or universities.