When discussing American gridiron football, certain final score combinations are mathematically impossible to achieve due to the scoring values assigned to touchdowns, extra points, two-point conversions, field goals, and safeties. Specifically, a team can never finish a football game with a total final score of 1 point, as the lowest possible legal score in the sport is a 2-point safety. Furthermore, scoring precisely 5 points is extraordinarily difficult and practically impossible through standard scoring plays, as it would require a very unusual combination of a safety (2 points) and a field goal (3 points) without any touchdowns or extra points being recorded.