Help with generating a random matrix with row and column constraint

Hi All,


I would greatly appreciate if someone could help me with the following problem.

I am trying to generate a 300X5 matrix of uniformly distributed random numbers with the following constraints.
1)All the elements in the matrix should be one of the following numbers : 0,1,2,3,4,5.
2)The sum of all the elements in each column should be 100
3)The sum across the row should be <= 5
4)I want to generate all these numbers as independent of each other as possible.
I understand that at one stage these numbers will be depending on one another to meet the constaint but is it possible to simulate the data in such a way that these numbers can be independent to a large extent.

I am trying to write a code to generate the data set in Matlab, but am struck with the algorithm. I shall be very thankful if someone can suggest an algorithm that can be coded in Matlab.

Thankyou,

Best Regards,

Ruchika
.

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