Generating combination of binary numbers
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Variable N and M are some integers and 
. I want to create permutation of M 1s and 
0s in the order shown below. Let 
and 
. I want to create permutation of M 1s and 0s in the order shown below. Let and A = [1 1 0 0 0;
1 0 1 0 0;
1 0 0 1 0;
1 0 0 0 1;
0 1 1 0 0;
0 1 0 1 0;
0 1 0 0 1;
0 0 1 1 0;
0 0 1 0 1;
0 0 0 1 1];
Note that in first row all 1s are on right side, then in next row the right most 1 move one step toward right and so on...
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Guillaume
2019-12-18
nchoosek outputs the indices in your desired ordering, so it's easy:
N = 5, M = 2; %demo data
cols = nchoosek(1:N, M);
A = zeros(size(cols, 1), N);
A(sub2ind(size(A), repmat((1:size(A, 1))', 1, M), cols)) = 1
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