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If Arkansas, LSU and Alabama are all tied with one loss, it could go all the way to the eighth tiebreaker to decide who plays in the SEC championship. The top ranked team of the three gets the nod for the championship unless the second team is ranked within five spots of the first.
At that point it would come down to whether or not LSU drops below Alabama and whether either of them is within five spots of the Razorbacks. This is why Arkansas needs LSU to do more the merely beat Alabama and the Hogs want to beat LSU by as little as possible.
Otherwise Alabama figures to be the second highest ranked team and within five spots of the Razorbacks. That scenario would send Alabama to the SEC Championship Game by virtue of the head-to-head victory over the Hogs.
Now, the path laid out is for Arkansas to win the SEC, but if the Hogs were to win the rest of their games and Alabama beats LSU, then Arkansas would likely be the second representative from the conference.
If all of this seems a little confusing, the bottom line is that if Arkansas wins the rest of their games to go 11-1, they could either earn a BCS bid by winning the SEC Championship or by earning an at-large bid.
This college football season has gone mostly according to script so far, so we are due for some surprises down the stretch. It should be fun to see how it all shakes out.