If the letters of the word VIBRANT are arranged in all possible ways and the words are arranged in a dictionary, then find the rank of the word VIBRANT.
Given that the word is VIBRANT.
The lexicographic order of the letters of the given word is A, B, I, N, R, T, 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 six-letter word, then the remaining four letters can be arranged in ways. On proceeding like this,
So, the rank of the word VIBRANT is given by,
Therefore, the rank of the word VIBRANT is
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