6th now I believe, because the other extra spot has went to Birmingham, this is why it was important for Arsenal to win in the carling cup final the useless ****s.

Yes but if the FA Cup final is contested between say Man United and Arsenal, already in Europe, surely 7th gets us through?
if one of the english teams win the europa league will there not potentially be another spot up for grabs?
in that case does it mean that if Arsenal won the CC final Birmingham would have got 7th spot still aswell?
Unless, of course, Brummy sneak into the top 5. Then it'll go to 7th. But that's unlikely so nevermind
6th place may not be there either, say if Man United beat Reading in the FA Cup Final, Reading would get place in Europe!
Same situation we had in 1998 and 1999 when were runner-ups up to Arsenal and Man Utd. Also same as Milwall in 2004.
So in summary we need two of Man Utd, Man City and Arsenal compete the final for us to qualify for Europe in 6th because that is the only way 6th will come available! not only this but we have to finish 6th first!!!