Q. 253.8( 6 Votes )

If the permutatio

Answer :

Given the letters a, b, c, d, and e.

Arranging the permutations of the letters a, b, c, d, and e in a dictionary:


To find: Rank of word debac in dictionary.


First comes, words starting from letter a = 4! = 24


words starting from letter b = 4! = 24


words starting from letter c = 4! = 24


words starting from letter d:


words starting from da = 3! = 6


words starting from db = 3! = 6


words starting from dc = 3! = 6


words starting from dea = 2! = 4


words starting from deb:


debac = 1


Rank of the word debac = 24 + 24 + 24 + 6 + 6 + 6 + 4 + 1


= 95


Hence the rank of the word debc in arranging the letters a, b, c, d, and e in a dictionary among its permutations is 95.


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