(a) If, upon the expiration of the time for filing nomination petitions for any elective city office, petitions have been filed for no more than twice the number of candidates for such office to be elected at the next city election, then no primary election shall be held in respect to such office, and the Clerk shall publish notice of this fact.
(b) No person shall vote for more candidates for nomination for any office at a primary election than there will be persons elected to that office at the following election.
(c) Candidates in number to twice the number of persons to be elected to each city office at the following election who receive the highest number of votes at any such primary election shall be declared the nominees for election to the respective office for which they are candidates. The names of such nominees, together with the names of persons for whom petitions have been filed for office with respect to which no primary election was held, shall be certified by the Clerk to the Election Commission to be placed upon the ballot for the following regular city election.