Permutation and CombinationHard
Question
The letters of the word COCHIN are permuted 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
Options
A.360
B.192
C.96
D.48
Solution
COCHIN
The second place can be filled in 4C1 ways and the remaining four alphabets can be arranged in 4! ways in four different places. The next 97th word will be COCHIN.
Hence, there are 96 words before COCHIN.
The second place can be filled in 4C1 ways and the remaining four alphabets can be arranged in 4! ways in four different places. The next 97th word will be COCHIN.
Hence, there are 96 words before COCHIN.
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