If the letters of the word CLEAN are arranged in all possible ways and the words are arranged in a dictionary, then find the number of words in the dictionary before the word CLEAN.
63
38
84
80
Given that the word is CLEAN.
The lexicographic order of the letters of the given word is A, C, E, L, N. The words that begin with A will come first in the lexicographic order.
If the letter A is in the first place of the five-letter word, then the remaining four letters can be arranged in ways.On proceeding like this,
So, the rank of the word CLEAN is given by,
Therefore, the rank of the word CLEAN is 39
Thus, the number of words in a dictionary before the word CLEAN is 39-1=38.
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