Only 21 states and 1 district have football teams in the NFL.
Arizona - Arizona Cardinals
California - Oakland Raiders, San Francisco 49ers, San Diego Chargers
Colorado - Denver Broncos
District of Columbia - Washington Redskins (although they actually play in Maryland)
Florida - Miami Dolphins, Jacksonville Jaguars, Tampa Bay Buccaneers
Georgia - Atlanta Falcons
Illinois - Chicago Bears
Indiana - Indianapolis Colts
Louisiana - New Orleans Saints
Maryland - Baltimore Ravens
Massachusetts - New England Patriots
Michigan - Detroit Lions
Minnesota - Minnesota Vikings
Missouri - Kansas City Chiefs, St. Louis Rams
New York - New York Jets, New York Giants, Buffalo Bills
North Carolina - Carolina Panthers
Ohio - Cincinnati Bengals, Cleveland Browns
Pennsylvania - Pittsburgh Steelers, Philadelphia Eagles
Tennessee - Tennessee Titans
Texas - Houston Texans, Dallas Cowboys
Washington - Seattle Seahawks
Wisconsin - Green Bay Packers
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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).