7 slots:
1 slot goes to each of the other three division winners, leaving 4 slots:
Still should be well behind the Cowboys and Eagles, leaving 2 slots:
No reason to think that either Green Bay or Detroit collapses (Beyond "sure, could happen"), leaving 1 slot:
So the Giants would/will be looking to beat out the likes of the
Rams (10 wins last year, even if they step back a bit)
Bears (Major offensive upgrades to a 7 win team, QB likely to be the issue)
Vikings (A lot depending on the rookie QB)
Falcons (Addition of a legitimate, capable QB should be a big boost to a 7 win team)
Seahawks (9 wins last year, should/could still at least be in the mix)
as I don't think any teams outside of Washington and Carolina should be ruled out in this conference.
I don't like the chances for the Giants.