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Create a vector of combinations based on a table column n ames

Here's another way:
A B C D E F G H
1 1 1 0 0 0 0 0 0
2 1 0 1 0 0 0 0 0
3 1 0 0 0 1 0 0 1
4 1 0 0 0 0 1 1 0
5 0 1 1 1 0 0 0 0
6 0 0 1 0 1 0 1 1
7 0 0 0 1 1 1 0 1
8 1 0 1 1 1 0 0 1
9 1 0 1 1 0 1 1 0
1           2           3           4           5           6
7 
      "A B"       "A C"     "A E H"     "A F G"     "B C D"   "C E G H"   "D
E F H" 
          8           9 
"A C D E H" "A C D F G" 

HTH,
Andy