Nested For Loop Value Appended to Overall Matrix

Hello, very new to Matlab and wrote this loop to create a state space for a 1820x5 matrix, it'll give me all of the rows, but then I need those values to be in a single matrix

code is as follows:

lim = 12;
S = [];
for a = 0:lim
    for b = 0:(lim - a) 
        for c = 0:(lim - a - b)
            for d = 0:(lim - a - b -c)
                e = lim - a - b - c - d
                new_row = [a b c d e]                
            end
        end
    end
end

Answer 1

[KSSV]

lim = 12;
count = 0 ; 
A = zeros([],5) ; 
for a = 0:lim
    for b = 0:(lim - a)
        for c = 0:(lim - a - b)
            for d = 0:(lim - a - b -c)
                count = count+1 ; 
                e = lim - a - b - c - d ; 
                new_row = [a b c d e] ; 
                A(count,:) = new_row ;                 
            end
        end
    end
end