how to get all combinations of a columns of six different matrices

I am trying to add all the combinations of columns of six different matrices. suppose I have 6 different matrices,each matrix is having 4 columns, I need to add the columns of six matrices with all combinations. so, Total of 4^6 column vectors in the combined vector.

Please suggest me the method without loops.

[Matt J]

Your objective shows no dependence on the

Answer 1

[KSSV]

idx = nchoosek(1:6,4)