If the different permutations of all the letter of the word EXAMINATION are listed as in a dictionary; how many words are there in this list before the first word starting with E?

Explanation

In a dictionary, the words at each stage are arranged in an alphabetical order.
When the letters of the word 'EXAMINATION' are arranged in the dictionary, the first word would be AAEIIMNNOTX.
Starting with A, we arrange the remaining 10 letters AEIIMNNOTX in which there are 2 I's and the rest are all different, in all possible ways.
Thus, the number of words formed beginning with A
`=(10!)/((2!)xx(2!))=907200.`
In the dictionary, the next word would be EAAIMNNOTX.
Hence, 907200 words are there in the dictionary before the first word starting with E.