NCERT Class XI Mathematics - Permutations and Combinations - Solutions
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Question : 34
Total: 41
If the different permutations of all the letters 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 ?
Solution:
Total no. of letters in the word EXAMINATION are 11 with 2 A’s, 2I’s and 2N’s.
Now when word starts with A i.e., A is fixed at the beginning of the word.
Then we have to arrange the remaining 10 letters with 2I’s, 2N’s.
Then no. of words starting with A =
∴ Required no. of words = 907200.
Now when word starts with A i.e., A is fixed at the beginning of the word.
Then we have to arrange the remaining 10 letters with 2I’s, 2N’s.
Then no. of words starting with A =
∴ Required no. of words = 907200.
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