7-9 Playoff team in the NFC?

Here is what needs to happen for the 6 seed in the NFC to be 7-9:

Giants lose at home to New Orleans and at Washington.
Atlanta lose at home to Carolina and at Philadelphia.
St. Louis loses to either Washington or Minnesota.
San Francisco loses to either Arizona or Denver.
Carolina must beat Atlanta, and lose to New Orleans.
Green Bay loses to Chicago.

Probably the most unlikely of these is Washington over the Giants, although it will be in D.C... Carolina beating Atlanta is probably the 2nd least likely, although Atlanta's been known to shoot itself in the foot. All of the other things that need to happen seem pretty good, especially if Philly beats Dallas on Christmas, they'll be able to win the NFC East with a win over Atlanta in week 17.