MATLAB: How to find a combination like this

combinatorics

I am wondering is there a way where I could use a matrix in combinatorics such as

nchoosek(4,1:4) where it calcluates 4choose1, 4choose2,… 4choose4 ?

Is thie possible in Matlab?

N = 4;
temp = factorial(0:N);
temp(end) ./ (temp .* fliplr(temp))

This would be 4C0, 4C1, 4C2, 4C3, 4C4, so you could index into the result to get the subset you need.

One of ways

n=1;
k=[1 2 3 4;5 6 7 8];
out = zeros([size(k),3]);
while n<4
    k=k*n;
    out(:,:,n) = k;
    n=n+1;
end

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);