wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

Open in App
Solution

In a dictionary, the words are listed and ranked in alphabetical order. In the given problem, we need to find the rank of the word LATE.
For finding the number of words starting with A, we have to find the number of arrangements of the remaining 3 letters.
Number of such arrangements = 3!
For finding the number of words starting with E, we have to find the number of arrangements of the remaining 3 letters.
Number of such arrangements = 3!
For finding the number of words starting with L, the next alphabetical letter would be A, followed by E and then T, i.e. LAET.
The next alphabetical word would be LATE.
Number of words after which we reach the word LATE = 3!+3!+1+1 = 14

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Music from Sounds
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon