ENGLISH DIV 1 (OLD) 18 Aug 1979
Brighton 0 - 4 Arsenal
ENGLISH DIV 1 (OLD) 16 Aug 1980
Brighton 2 - 0 Wolves
ENGLISH DIV 1 (OLD) 29 Aug 1981
West Ham 1 - 1 Brighton
ENGLISH DIV 1 (OLD) 28 Aug 1982
Brighton 1 - 1 Ipswich
Could be wrong but I've not known two promoted or relegated sides to start against each other.
The one thing that normally happens is a slight weighting towards teams closer in the alphabet in the opening batch.
I suspect Arsenal, Chelsea or Everton will be in the first five somewhere.
Or...