Have you visited Cochin ?????
Probability
Level
3
The letters of the word COCHIN are permuted and all the permutations are arranged in the alphabetical order as in an English Dictionary. How many words appear before the word COCHIN in the dictionary ?????
The answer is 96.
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1 solution
First arrange the letters of the word COCHIN as in the order of the dictionary.
Consider the words starting from 'C' . There are 5 ! such words.
Number of words with two C's occupying first and second place are 4 ! words.
Number of words starting with CH , CI and CN are 4 ! each.
Therefore , the number of words before the first word starting with CO is 4 ! + 4 ! + 4 ! + 4 ! = 9 6 words.
The first word starting with CO is COCHIN.
Hence , there are 9 6 words before the word COCHIN.