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in Mathematics by (54.8k points)

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?

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We are required to find the number of permutations which begin with the letter A. 

There are 11 letters in the given word of which A – 2, 1-2,N-2, 

When A is fixed in the first place, remaining 10!/2!2!  letters can be arranged in ways.

∴ Required permulations

= (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3)/(2 x 1) = 907200

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