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How can I generate all possible combinations from multiple sets of nchoosek?

Asked by Matthew Eicholtz on 31 Jul 2012
Latest activity Answered by Matthew Eicholtz on 5 Sep 2015
Basically, I want to run combntns on multiple sets. Given multiple vectors and knowing how many elements to choose from each vector, can I generate all possible combinations? I suppose it can be done with for loops, but I am hoping for something more elegant.
Example
If
n1 = [1,2,3]; k1 = 1;
n2 = [4,5,6]; k2 = 2;
then
c = [1 4 5
1 4 6
1 5 6
2 4 5
2 4 6
2 5 6
3 4 5
3 4 6
3 5 6]

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1 Answer

Answer by Matthew Eicholtz on 5 Sep 2015
 Accepted Answer

In case anyone else ever stumbles upon this question...I figured out how to solve my problem. Use a combination of nchoosek and combvec:
c1 = nchoosek(n1,k1);
c2 = nchoosek(n2,k2);
c = combvec(c1',c2')';
To order the rows in the same way as shown in the question, use:
csorted = sortrows(c);

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