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No.

Think of the total number of wins and total number of losses across the entire league. These two numbers are always the same. Each game results in 1 win (for the winner) and 1 loss (for the loser), or if it is a tie, 0 wins and 0 losses.

However, if every team had more wins than losses, then the total number of wins would be more than the total number of losses, which we just showed is impossible.

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Q: Is it mathematically possible for every team in the NFL to have a winning record?
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