Mich. Comp. Laws § 380.414a: Failure to take oath of office; filling vacancy.

Sec. 414a.

If a person elected to the board of a first class school district under this part fails to take the oath of office within 10 days after service of notice of election, the vacancy shall be filled pursuant to section 411a(6), 412(7), or 412a(7), as applicable.