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 these permutations of {1,2,3,4,5} in lexicographic order

14532

15432

21345

23451

23514

31452

31542

43521

45231

45321

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Show that the correspondence described in the preamble is a bijection between the set of permutations of $\{1, 2, 3,\dots,n\}$ and the nonnegative integers less than $n!....
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