In American football, how many different ways can 21 points be scored in a football game, including safeties, touchdowns, field goals, and conversions? What are each of the possible ways?

BillHMath

I believe there are 23 different ways to score 21 points in a football game. They are: 1.)8 8 3 2;2.)8 7 3 3; 3.)8 7 2 2 2; 4.)7 7 7; 5.)8 7 6; 6.)7 7 3 2 2; 7.)8 6 3 2 2; 8.)7 6 3 3 2; 9.)7 6 2 2 2 2; 10.)6 6 3 3 3; 11.)6 6 3 2 2 2; 12.)8 3 3 3 2 2; 13.)8 3 2 2 2 2 2; 14.)7 3 3 3 3 2; 15.)7 3 3 2 2 2 2; 16.)7 2 2 2 2 2 2 2; 17.)6 3 3 3 3 3; 18.)6 3 3 3 2 2 2; 19.)6 3 2 2 2 2 2 2; 20.)3 3 3 3 3 3 3; 21.)3 3 3 3 3 2 2 2; 22.)3 3 3 2 2 2 2 2 2; 23.)3 2 2 2 2 2 2 2 2 2. [Mar 10 04 8:56 AM] BillHMath writes: In college football, if a team is going for a conversion and the defending team takes possesion (by an interception, fumble, blocked kick) and returns the ball to the other end zone, the DEFENDING team gets 2 points. If you count this as different than the offensive team getting a 2 point conversion then you will have many more options. Mar 10 04, 8:49 AM