If a candidate of a political party for a city office, after having qualified as a candidate, dies after the last day for qualifying, leaving the political party without a candidate for the office, a candidate to fill the vacancy may be selected by the members of the county executive committee of the candidate’s political party residing in the city if 3 or more members of the county executive committee of that political party reside in the city. If less than 3 members of the county executive committee of that political party reside in the city, the county executive committee of that political party may select a candidate to fill the vacancy for that office. The name of the candidate selected shall be transmitted to the city officials required by law to print and distribute ballots. The name of the candidate shall be printed on the ballots, but if the ballots have been printed, the city officials shall have the ballots reprinted with the candidate’s name on the ballots and the reprinted ballots shall be distributed to the various voting precincts within the city.