(1) Except as otherwise provided in subsection (3), if none of the participating municipalities are school districts, an election for board members or a districtwide tax shall be conducted by the city and township clerks and election officials of the municipalities located within the district.

    (2) If an election on a proposal for a districtwide tax is to be held in conjunction with a general election or state primary election or board members are to be elected and if a participating village is located within a nonparticipating township, the township clerk and election officials shall conduct the election. On the forty-fifth day preceding the election, the village clerk shall provide to the township clerk a list containing the name, address, and birth date of each qualified and registered elector of the village or the portion of the village that is included in the district. By the fifteenth day preceding the election, the village clerk shall provide to the township clerk information updating the list as of the close of registration. Persons appearing on the list as updated are eligible to vote in the district election by special ballot.

    (3) If a districtwide tax is to be voted on at a special election not held in conjunction with a general election or state primary election and if a participating village is located within a nonparticipating township, the village clerk and election officials shall conduct the election.