M=randi(3,10);
M can then be linear indexed by the set [1,30] since there are 30 elements. So you could get a RANDom PERMnutation of that by using RANDPERM.
idx = randperm(30)
Then
Mnew = M([idx]);
and shape up Mnew
Mnew = reshape(Mnew,3,10)
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