The number of individuals to be nominated as candidates for any one no-party office is the number of individuals who receive the highest number of votes and who total twice the number of available positions for the office if that many individuals are candidates for nomination. However, an individual may not be deemed nominated as a candidate for any no-party office at any primary election unless the number of votes received by the individual is no less than the number of signatures of qualified electors required to be obtained on a petition to have a candidate’s name for the office placed on the primary ballot. Partisan nominations may not be made for any of the offices mentioned in section 16.1-11-08.