The size of this sample space is NN. To each element of this space corresponds a permutation, but the size of the space of all possible permutations is N! , which is not only smaller than NN for any N > 1, but more importantly, it is not a divisor of NN, which means that it is impossible for the algorithm to give equal weight to all the permutations.
If I'm not mistaken, N! | N N, as N! = 1*2*...*N, and N N = N*N*...*N. Therefore, N N/N! = N N-1/(N-1)!
How does this affect your comment?
Update: Oops, I was mistaken.
-QM
--
Quantum Mechanics: The dreams stuff is made of
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