If the letters of the word BRAVE are arranged in all possible ways and the words are arranged in a dictionary, then find the rank of the word BRAVE.
Given that the word is BRAVE.
The lexicographic order of the letters of the given word is A, B, E, R, V. 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 BRAVE is given by
Therefore, the rank of the word BRAVE is
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