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Your first and best option is to settle a tie on the field. But if time constraints prevent you from doing so, C's and B's games vs another team are irrelevant as far as "head-to-head" tiebreakers go. Only the games between B and C matter. I don't agree with your 2nd tiebreaker (who won the most recent game) if they are 2-2 against each other, and have never heard of that being used in any sports I've been involved with.
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"Many baseball fans look upon an umpire as a sort of necessary evil to the luxury of baseball, like the odor that follows an automobile." - Hall of Fame Pitcher Christy Mathewson
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