If the different permutations of all the letter of the word EXAMINATIO

1.	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?
Answer» 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

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?

Answer»

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