If the letters of the word IDEAL 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 IDEAL.
63
89
84
80
Given that the word is IDEAL.
The lexicographic order of the letters of the given word is A, D, E, I, L. 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 IDEAL is given by,
Therefore, the rank of the word IDEAL is 81
Thus, the number of words in a dictionary before the word IDEAL is 81-1=80
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