Number of words formed using all the letters of the word 'EXAMINATION' if alike letters are never adjacent.

Explanation

To solve the problem of finding the number of words formed using all the letters of the word "EXAMINATION" such that alike letters are never adjacent, we can follow these steps:

### Step 1: Identify the Letters and Their Frequencies
The word "EXAMINATION" consists of the following letters:
- E: 1
- X: 1
- A: 2
- M: 1
...