How to construct a matrix M1 with size of (2k − 2) × 1. M1 contains (k − 1) ones and (k − 1) zeros. For example, M1 = [1 1 1 0 0 0]T for k = 4. We obtain all possible permutations of M1, denoting Mi , i = 2, . . . ,N, where N = (2k−2)! (k−1)!(k−1)!

How to construct a matrix M1 with size of (2k − 2) × 1. M1 contains (k − 1) ones and (k − 1) zeros. For example, M1 = [1 1 1 0 0 0]T for k = 4. We obtain all possible permutations of M1, denoting Mi , i = 2, . . . ,N, where N = (2k−2)! (k−1)!(k−1)!

Answer 1

[KSSV]

k = 4 ;
N = 2*k-2 ;

O = ones(k-1,1) ;
Z = zeros(k-1,1) ;
% 0's and 1's in order
iwant = [O ; Z]
% 0's and 1's in random 
iwant = randsample([O ; Z],N)

[PLACEIUS NISHIGA G]

Thank you for your answer sir... What will be the o/p if N = ((2k−2)!)/((k−1)!(k−1)!)

[KSSV]

N = ((2k−2)!)/((k−1)!(k−1)!)....what is value of k in this case..and how many 1 and 0 you want?

[PLACEIUS NISHIGA G]

i want (k-1)no of ones and zeros. we can choose k value as our need.for example k=3

Answer 2

[Matt J]

k = 4 ;
N = 2*k-2 ;

I=nchoosek(1:N,k-1);
J=repmat( (1:size(I,1)).'  ,1,size(I,2) );

M=accumarray([I(:),J(:)],1).';