Problem 1094
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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