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 permutations of its letters are arranged in alphabetical order, we will follow these steps:

### Step-by-Step Solution:

1. **List the Letters in Alphabetical Order**:
The letters in "ZENITH" are Z, E, N, I, T, H. Arranging them in alphabetical order gives us:
E, H, I, N, T, Z.

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