Home Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 6 PCM The letters of the word COCHIN are permutate…
Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 6 PCM Numeric Response
Published on: August 14, 2026

The letters of the word COCHIN are permutated and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

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The correct answer is:
96

(96)

Arrange the letters of the word COCHIN as in the order of dictionary CCHINO.
Consider the words starting from C .
There are 5! such words.
Number of words with the two C's occupying first and second place .
Number of words starting with is 4 ! each.
Similarly, number of words before the first word starting with 96.

The word starting with CO found first in the dictionary is COCHIN. There are 96 words before COCHIN.

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