generate Matrix using Combination

Hello all,

I wanted to know how to gnerate a binary matrix using combination number of rows and columns

Suppose I want to generate a matrix of 16 columns and 6 rows and wanted to maintain number of 1's in each column to be 3. Then I want to generate a code which must be using combination of 6(number of rows) and 3(number of 1's in each column). So answer is 20 combinations, in that I want to use only 16 combinations as I am having only 16 columns.

Can any one help me.

[Gani]

Is this something you want ?

function mBinaryMatrix = BinaryRandMatrix(nRows, nColumn, nNum)
mBinaryMatrix = zeros(nRows,nColumn); 
    for i = 1:nRows
        rColumn = randi([1 nColumn],1,nNum); % want to have only 3 1s in each row- so give nNum = 3
        mBinaryMatrix(i, rColumn) = 1; 
    end 
end % mBinaryMatrix

Example :

mBinaryMatrix = BinaryRandMatrix(6, 16, 3);