The letters of word ZENITH are written in all possible ways. If all these words are written out as in a dictionary, then find the rank of the word ZENITH.

Explanation

To find the rank of the word "ZENITH" when all the letters of the word are arranged in alphabetical order, we can follow these steps:

### Step 1: Arrange the letters in alphabetical order
The letters of the word "ZENITH" are Z, E, N, I, T, H. Arranging them in alphabetical order gives us:
- E, H, I, N, T, Z

### Step 2: Count words starting with letters before 'Z'
We will count how many words can be formed starting with each letter that comes before 'Z'.
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