If the letters of the word LIGHT 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 LIGHT.
63
89
84
95
Given that the word is LIGHT.
The lexicographic order of the letters of the given word is G, H, I, L, T. The words that begin with G will come first in the lexicographic order.
If the letter G 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 LIGHT is given by,
Therefore, the rank of the word LIGHT is 85
Thus, the number of words in a dictionary before the word LIGHT is 85-1=84
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