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Robert Griffin III and company control their own destiny and can win the NFC East by taking care of business at home against the arch-rival Cowboys. A loss doesn't mathematically eliminate them, but they'd be in a world of hurt.
If They Win
The Redskins take the NFC East crown at 10-6 and await the arrival of either the Seattle Seahawks or San Francisco 49ers in the first round of the playoffs.
If They Lose
They need some help. To be more precise, they would need the Vikings to fall to the Packers, and the Bears would need to lose against the Lions. In that case, a 9-7 Redskins team would win both a four-team tiebreaker (with the Giants, Bears and Vikings) or a three-team tiebreaker (with just the Bears and Vikings).