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Is there anything the Irish can do to get into the national championship?
If Notre Dame wins out, its best win of the season will be over the Oklahoma Sooners in Norman. If Kansas State finishes undefeated, then that exact feat was accomplished as well.
If Oregon were to finish out the season undefeated, it would have gone through the USC Trojans both on the road and at home. (The home victory would be for the conference championship, assuming USC wins the Pac-12 South.) Notre Dame would then have defeated USC on the road, but Oregon would have that second triumph as a trump card.
While Notre Dame's schedule looked like one of the toughest in the nation, the Big Ten implosion really screwed the Irish over in a big way. If Michigan were really somewhere around its preseason No. 8 ranking right now, the Irish would look really good for beating it.
Oklahoma, Michigan State, Purdue, Stanford, BYU and USC have all lost more games than they were supposed to have lost in 2012. That has hurt the Irish to the point that there is nothing they can do but keep winning.
The Kansas State Wildcats will have to take a loss or USC will have to beat Oregon this week for Notre Dame to have a shot at the title. (Assuming Notre Dame manhandles USC like it has every other major factor on its schedule.)
Notre Dame has to win out to have a shot, but that alone would probably not get the Irish in over undefeated conference champions.