There are 4! (or 24) "words" that can be formed using each of the letters a, b, c and d once. if these "words" are alphabetized, which one is 17th?

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asked Jan 21, 2018 83.6k views

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Slott · Answer 1 · 2018-01-25T11:10:26+0000

First, list all possibile combinations(alphabetized for convenience):
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba

Going down the list, number 17 is cdba.

There are 4! (or 24) "words" that can be formed using each of the letters a, b, c and d once. if these "words" are alphabetized, which one is 17th?

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