Interestingly, the fallacy is actually good reasoning. Even though every permutation is equally likely, the permutations fall into equivalence classes of "notoriety", and the class of ordered sequences is far smaller (== less likely) than the class of disordered sequences (which are all equivalently noninteresting).
(This is entropy, as it applies to both information and the physical world.)
Do you know if there's a name for the fallacy you've alluded to? (Assuming that an ordered sequence is less likely than any other.)