Q. 234.8( 5 Votes )

If the letters of the word, ‘LATE’ be permutated and the words so formed be arranged as in a dictionary, find the rank of the word LATE.

Answer :

Given the word LATE.

Arranging the permutations of the letters of the word LATE in a dictionary:


To find: Rank of word LATE in dictionary.


First comes, words starting with letter A = 3! (3 letters, no repetation)


words starting with letter E = 3! (3 letters, no repetation)


words starting with L


words starting with LA:


LAET = 1


LATE = 1


Rank of the word LATE = 6 + 6 + 1 + 1


= 14


Hence the rank of the word LATE in arranging the letters of LATE in a dictionary among its permutations is 14.


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