Generating row combination from a set of data

Lets say i have 37 filters and their transmittance in a (37 x 25) matrix

In this set of 37 filters i like to randomly pick 3 filters out everytime, no repetition. So it's like 37 choose 3, there should be a total of 7770 combinations.

Can I form a 3D matrix using a for loop for this? where it should be (3 x 25 x 7770)

Where 3 is the set of filters for each combinations 25 is the data points as per original and 7770 is the total combinations

Answer 1

[Shoaibur Rahman]

T = rand(37,25);
fil = 1:37;
b = combntns(fil,3);
for k = 1:size(b,1)
    out(:,:,k) = T(b(k,:),:);
end