Permuting SMART

If all the words (meaningful or meaningless) obtained from permuting the letters of the word SMART are arranged alphabetically, what is the rank of the word SMART?

78th 80th 79th 72nd

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1 solution

Aaron Warren
May 4, 2015

Prior to S...

24 "words" begin with A (4! = Permutations of M, R, S, T)

24 "words" begin with M (4! = Permutations of A, R, S, T)

24 "words" begin with R (4! = Permutations of A, M, S, T)

Prior to SM...

6 "words" begin SA (3! = Permutations of M, R, T)

24 + 24 + 24 + 6 = 78

SMART is the next word - 79th

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