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What scores are impossible to get in football?

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In a variant* of American football, a team can either score a = 3 points (a field goal) or b = 7 points (a touchdown). Under these rules, some scores are impossible. A listing of N.F.L. scores usually includes a lot of familiar numbers: 21, It is one of the oddities of American football that a team can score 2, 3.
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