The full names of candidates nominated for mayor or board of commissioners in accordance with the provisions of this charter, except such as may have withdrawn, died or become ineligible, shall be printed on the official ballots in the alphabetical order of the surnames in rotation without any party designation. There shall be printed as many sets of ballots as there are candidates. Each set of ballots shall begin with the name of a different candidate, the other names being arranged thereafter in regular alphabetical order, commencing with the name next in alphabetical order after the one that standards first on such set of ballots. When the last name is reached in alphabetical order it shall be followed by the name that begins with the first letter represented in the list of names and by the others in regular order.