re: Would this have worked?

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you also have to 11 players on the field don't you

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Nope. All you technically need is 1 - the center.

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also anybody on the field behind the line of scrimage is considered in the back field so the only way to have the correct number of people is 7 people on the line of scrimage and 4 people behind

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Rule change this year - the requirement is now no more than 4 in the back, not at least 7 on the line. So you can have 4 backs and a 6 man line. Or 4 backs and a 2 man line. Or 1 back and a 1 man line.

You might recall earlier in the year (bama?) LSU drew a penalty for a 6 man line and 5 backs but the refs referred to it as too many in the back field.