Question

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

• A. $360$
• B. $192$
• C. $96$
• D. $48$

Answer 1

The correct option is C $96$

C, C, H, I, N, O
Words starting with CC $\dots \dots 4!$ ways
Words starting with CH $\dots \dots 4!$ ways
Words starting with CI $\dots \dots 4!$ ways
Words starting with CN $\dots \dots 4!$ ways

The first word starting with CO is COCHIN.
Thus, there are $4\cdot 4!=96$ words before COCHIN.