Q.4. 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?
In the word EXAMINATION, we have 11 letters out of which A,I, N appear twice and all other letters appear once.
The word that will be listed before the first word starting with E will be words starting with A.
Therefore, to get the number of words starting with A, letter A is fixed at extreme left position, the remaining 10 letters can be arranged.
Since there are 2 I's and 2 N's in the remaining 10 letters.
Number of words starting with A
Thus, the required number of different words = 907200
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