Hello,
I can create such files easily.
As a proof, I paste here solution for 7 objects (44 combinations totally):
A,B,C,D,E1,F2,G1;
A,B,C,D,E1,F2,G2;
A,B,C,D,E1,F2,H1;
A,B,C,D,E1,F2,H2;
A,B,C,D,E1,G1,H1;
A,B,C,D,E1,G1,H2;
A,B,C,D,E1,G2,H1;
A,B,C,D,E2,F1,G1;
A,B,C,D,E2,F1,G2;
A,B,C,D,E2,F1,H1;
A,B,C,D,E2,F1,H2;
A,B,C,D,E2,G1,H1;
A,B,C,D,E2,G1,H2;
A,B,C,D,E2,G2,H1;
A,B,C,D,F1,G1,H1;
A,B,C,D,F1,G1,H2;
A,B,C,D,F1,G2,H1;
A,B,C,D,F2,G1,H1;
A,B,C,D,F2,G1,H2;
A,B,C,D,F2,G2,H1;
A,B,C,E1,F2,G1,H1;
A,B,C,E1,F2,G1,H2;
A,B,C,E1,F2,G2,H1;
A,B,C,E2,F1,G1,H1;
A,B,C,E2,F1,G1,H2;
A,B,C,E2,F1,G2,H1;
A,B,D,E1,F2,G1,H1;
A,B,D,E1,F2,G1,H2;
A,B,D,E1,F2,G2,H1;
A,B,D,E2,F1,G1,H1;
A,B,D,E2,F1,G1,H2;
A,B,D,E2,F1,G2,H1;
A,C,D,E1,F2,G1,H1;
A,C,D,E1,F2,G1,H2;
A,C,D,E1,F2,G2,H1;
A,C,D,E2,F1,G1,H1;
A,C,D,E2,F1,G1,H2;
A,C,D,E2,F1,G2,H1;
B,C,D,E1,F2,G1,H1;
B,C,D,E1,F2,G1,H2;
B,C,D,E1,F2,G2,H1;
B,C,D,E2,F1,G1,H1;
B,C,D,E2,F1,G1,H2;
B,C,D,E2,F1,G2,H1.
And totals for n combinations (for check):
n=2: 59 comb.;
n=3: 156 comb.;
n=4: 245 comb.;
n=5: 236 comb.;
n=6: 137 comb.;
n=7: 44 comb.;
n=8: 6 combinations only (here they are listed too, rather easy to check manually):
A,B,C,D,E1,F2,G1,H1;
A,B,C,D,E1,F2,G1,H2;
A,B,C,D,E1,F2,G2,H1;
A,B,C,D,E2,F1,G1,H1;
A,B,C,D,E2,F1,G1,H2;
A,B,C,D,E2,F1,G2,H1.
Feel free to customize any details of the task, like format of files (comma-separated, tab-separated, order ...) etc.
Thank you.