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  • 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?

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?

Answers (1)

best_answer

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 =\frac{10!}{2!2!}=907200

Thus, the required number of different words = 907200

Posted by

seema garhwal

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