The improbable scenario where an in-state rivalry between two Michigan college basketball teams is only one game away for both the University of Michigan and Michigan State. Both schools play in the Sweet 16 on Friday, with a shot at the Elite Eight on the line. Big picture view:The University of Michigan and Michigan State University both play Friday in the March Madness tournament after surviving the first weekend that included some great basketball and heart-pounding finishes. Michigan will play the top seed in Auburn, while MSU will play Mississippi. Michigan State won the Big Ten conference following a surprising season of over performance compared to preseason expectations.