Question 527131: Using only letters from the set {A, M, T, N, Y, S}, all of the possible four-letter "words" are written in alphabetical oder, starting with AAAA. What is the 2011th word in the list? Use a systematic approach that does not involve extensive lists.
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! this is like writing a 4-digit base6 number; where A=0, M=1, N=2, T=3, S=4, Y=5
a 4-letter word using 6 letters means 4^6 or 1296 possible words
do you start over with AAAA to get to 2011 words?
the "second part" of the list is 715 words (2011 - 1296)
715 in base6 is ___ 3X6^3 + 1X6^2 + 5X6^1 + 1X6^0
if you start over at 1297, the 2011th word is "3151" or TMYM
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