Dictionary Rank of the Word COCHIN

The letters of the word COCHIN in alphabetical order are:
$\text{C, C, H, I, N, O}$

Since the word COCHIN starts with $\text{C}$, any word starting with $\text{H, I, N, O}$ will appear after COCHIN. We only need to count words starting with $\text{C}$ that come before COCHIN:

1. Words starting with $\text{C C } \dots$: The remaining 4 letters are $\text{H, I, N, O}$. Number of words = $4! = 24$.
2. Words starting with $\text{C H } \dots$: The remaining 4 letters are $\text{C, I, N, O}$. Number of words = $4! = 24$.
3. Words starting with $\text{C I } \dots$: The remaining 4 letters are $\text{C, H, N, O}$. Number of words = $4! = 24$.
4. Words starting with $\text{C N } \dots$: The remaining 4 letters are $\text{C, H, I, O}$. Number of words = $4! = 24$.
5. Next comes words starting with $\text{C O } \dots$:
   • The first word starting with $\text{C O}$ in alphabetical order takes the remaining letters in order: $\text{C, H, I, N}$, giving COCHIN.

Total number of words appearing before COCHIN:
$24 + 24 + 24 + 24 = 96$

Correct Answer: C