How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur together?

Explanation

To solve the problem of how many words can be formed using all the letters of the word "EQUATION" such that the vowels and consonants occur together, we can follow these steps:

### Step 1: Identify the letters
The word "EQUATION" consists of 8 letters:
- Vowels: E, U, A, I, O (5 vowels)
- Consonants: Q, T, N (3 consonants)

### Step 2: Group the vowels and consonants
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