Problem 1094

Daily Math Challenge - February 27, 2024

The digits 1, 2, 3, 4, 5, and 6 can be arranged in 720 permutations.  If all 720 permutations of the digits 1 through 6 are arranged in numerical order from least to greatest, what is the 409th permutation?  Note that 123456 is the first permutation, 123465 is the second, and so on.

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