Partial not all possible k combinations out of total N in MATLAB

I have a list of 60 IDs, and I'd like to have ONLY around 10,000 of all possible 30 combinations out of the total 60 IDs. How can I do this in MATLAB? combnk() and nchoosek() won't help because the vector size is greater than 15. I appreciate any help or comment.

Thank you!

Answer 1

[John D'Errico]

I assume you mean to generate 10000 samples of 30 elements taken from a superset of 60 elements.

What is the problem? Just sample randomly. The odds of a duplicate sample are pretty small, given the huge number of combinations possible:

nchoosek(60,30)
Warning: Result may not be exact. Coefficient is greater than   9.007199e+15 and is only accurate to 15 digits 
> In nchoosek (line 92) 
ans =
      1.18264581564861e+17

Regardless, if you are worried, then generate 10001 samples, then throw the result into unique, with the rows option. If no replicates, toss the extra one.