There were no Division 1-AA (FCS) football teams located in Michigan in the 2011 season.
All states have college football teams, but not even half of the states have NFL teams.
In the National Football League (The main football league in the United States) there are 32 teams. There are more teams if you include the smaller football leagues in the United States.
Football teams are not named after states in college football. Rather, the teams represent colleges and universities and are referred to by the name of the school (for example, "Michigan" is the football team from the University of Michigan and "Florida State" is the football team from Florida State University). Most "flagship" institutions (major public universities with the name of the state in its title) sponsor football programs. The notable exceptions are Vermont and Alaska. Other than that, the other 48 states have at least one football program at an institution which has a name that includes the name of the state (and many have more than one).
Division I has two subdivisions for football. In Michigan, there are no Division I-FCS programs. There are two Division I programs that do not sponsor football teams (Oakland University and the University of Detroit Mercy) There are five Division I-FBS programs. Michigan (Big Ten) Michigan State (Big Ten) Western Michigan (MAC) Eastern Michigan (MAC) Central Michigan (MAC)
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Big Ten football refers to the Big Ten Conference in NCAA college football. The division is based in the Midwestern United States containing teams from universities such as Iowa and Michigan.