Saturday, November 01, 2025

[riqxgwhu] ordering a deck of cards in ways that makes sense

suit major, rank major (2 possibilities)

ordering of suits (4! = 24)

king high, ace high (2)

low instead of high (i.e., reverse the ranks) (2)

total number of ways = 2 * 24 * 2 * 2 = 192

a deck of cards ordered in any of these ways will not arouse suspicion as encoding information.  or, given a deck of cards suspected of encoding information in their ordering, these are possibilities of the "start" ordering.

cf 52! ~= 192^29.7 .

next, consider adding two distinct jokers, not breaking up the main body of cards.  multiply by 3! = 6 yielding 1152.  10 bits or 3 digits.

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