How can a matrix of randperm be generated with variable n*m?

I want to generate a matrix of n*m size, which looks like

where

n=3 
m=4
A=[randperm(m); randperm(m);randperm(m);]

These value may change with problem size. How can i generate this matrix since n and m vary? No loop please!

Answer 1

[John D'Errico]

SImpler than you think.

M = 4;
N = 3;
[~,A] = sort(rand(M,N),1)
A =
     1     1     3
     4     2     1
     2     3     4
     3     4     2

[Stephen23]

Sorting horizontally gives an equivalent matrix to that shown in the question:

>> M = 4;
>> N = 3;
>> [~,A] = sort(rand(N,M),2)
A =
   4   2   3   1
   2   1   4   3
   4   1   3   2