Efficient generation of permutation matrices in MATLAB

Question

I'm trying to generate a 100-by-5 matrix where every line is a permutation of 1..100 (that is, every line is 5 random numbers from [1..100] without repetitions).

So far I've only been able to do it iteratively with a for-loop. Is there a way to do it more efficiently (using fewer lines of code), without loops?

N = 100;
T = zeros(N, 5);

for i = 1:N
   T(i, :) = randperm(100, 5);
end

Answer 1

Let

N = 100; % desired number of rows
K = 5;   % desired number of columns
M = 100; % size of population to sample from

Here's an approach that's probably fast; but memory-expensive, as it generates an intermediate M×N matrix and then discards N-K rows:

[~, result] = sort(rand(N, M), 2);
result = result(:, 1:K);