how to generate a random matrix with a specific conditions ?

if i have (n,m) MATRIX M

 M = [ 0 1 1 0 1 0 1 1 1
       1 1 0 1 1 0 0 0 1
       1 1 0 0 1 1 0 1 0
       0 0 1 1 0 1 0 0 1 ] 

 and i found from M these matrix 

 M_row = [ 2 1 3 
           2 2 1 
           2 2 1 
           2 1 1  ]

 M_column = [ 0 0 1 1 0 0 0 1 2
              2 3 1 1 3 2 1 1 1 ]

 Where

M_row shows the number of group ones in each row in M

M_column shows the number of group ones in each column in M

i want to generate a tow random matrix using M_row and M_column with the same size of M like this example

 M_rand_row = [ 1 1 0 1 0 1 1 1 0
                0 1 1 0 1 1 0 0 1
                1 1 0 1 1 0 0 1 0
                0 1 1 0 0 1 0 1 0 ]

 M_rand_column = [ 0 1 1 1 0 1 1 1 1
                   0 1 0 0 1 1 0 0 1
                   1 1 0 1 1 0 0 0 0
                   1 0 1 0 1 0 0 1 1]