How to generate unique random samples for the following scenario?

I have rectangular formation of 208 bolts( 8 along the height and 28 along the length). I want to generate a random sample set of 10000 points which would give me different combinations of bolt failures. There is no restriction on the number of bolts that can fail.

Answer 1

[Image Analyst]

This will do it:

for k = 1 : 1000
  % Get the number of failures for this row.
  numFailures = randi(208);
  % Get the failed indexes.
  failedIndexes{k} = randperm(208, numFailures);
end
% Print to command window.
celldisp(failedIndexes);

Because it's a different number of failures each time, I used a cell array. You could use a regular array if you want - just make it big enough and set non-failures to nan or 0 or something.

[Manas Gupte]

Thanks a lot! Appreciate it.