JEE Advanced · Mathematics · 4. P&C
The letters of the word \(\mathrm{COCHIN}\) 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 \(\mathrm{COCHIN}\) is
- A 360
- B 192
- C 97
- D 48
Answer & Solution
Correct Answer
(C) 97
Step-by-step Solution
Detailed explanation
In a word \(\mathrm{COCHIN}\), the second place can be filled in \({ }^4 C_1\) ways and the remaining four alphabets can be arranged in \(4 !\) ways in four different places. The next \(97^{\text {th }}\) word will be COCHIN.
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