If the independent and neutral person or association determines that thirty per cent or more of the academic employees of Community College District No. 22 have indicated that they desire to be represented by that organization for such purposes, the board of trustees of Community College District No. 22 will publish a notice that it will hold an election as soon as practical to determine whether the academic employees of Community College District No. 22 desire the requesting organization or any other organization to represent them for the purposes of chapter 196, Laws of 1971 ex. sess. Any other organization of academic employees desiring to be designated as the majority organization representing such employees shall, within seven days after publication of such notice by the board of trustees of Community College District No. 22, file with the board of trustees a request in writing that its name be included on the ballot in the election to be held together with written proof of at least ten percent representation of the academic employees of the district. No organization shall be permitted to have its name placed on the ballot used in the election unless such a request has been received within seven days after the publication of the notice that an election will be held.