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# 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

$\begin{array}{1 1}(A)\;360\\(B)\;192\\(C)\;96\\(D)\;48\end{array}$

• $n!=n(n-1)(n-2)(n-3)....(3)(2)(1)$
$\therefore$ The number of words that appear before the word COCHIN is less than 120.
Now total no. of words starting with CC=$4!=24$
$\therefore$ Total no. of words before starting with 10=$4\times 24=9!$