If the letters of the word AMAZING are arranged in all possible ways and the words are arranged in a dictionary, then find the rank of the word AMAZING.
625
309
380
964
Given that the word is AMAZING.
The lexicographic order of the letters of the given word is A, A, I, G, M, N, Z. The words that begin with A will come first in the lexicographic order.
If the letter A is in the first place of the seven-letter word, then the remaining four letters can be arranged in ways. On proceeding like this,
So, the rank of the word AMAZING is given by,
Therefore, the rank of the word AMAZING is 380
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