MATLAB: All combination of certain min size

combinations

Hi, I need to compute all possible combination out of 70 assets that include at least 20 of them.
A binary 0/1 index output would be ideal.
Thanks

Best Answer

Because of the "at least 20 of them", there will be 1180493606926365010344 of them. It would be a lot shorter to calculate the asset combinations that are not included; there are only 98013791046293080 of those.