If the letters of the word, ‘LATE’ be permutated and the words so

1.	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.

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.