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If, for example, the PRNG can only be seeded with $2^{32}$ bits, then it cannot possibly produce all the $52!$ distinct permutations. In addition, even if we could meet the 226 bits needed for a 52-card deck, the distribution may not be uniform. This is true, but a good PRNG (even non-cryptographic) will give you a random sample from a uniform distribution....

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