How many words can be formed with the letters of the word 'CALCULUS'? Out of these words, how many words
(i) starts with A ?
(ii) starts with A and ends with S?
(iii) have all vowels together?
(iv) have not all vowels together?

Explanation

To solve the problem step-by-step, we will break down each part of the question regarding the word "CALCULUS".

### Step 1: Calculate the total number of words that can be formed with the letters of "CALCULUS".

The word "CALCULUS" has 8 letters in total. The letters are:
- C (occurs 2 times)
- A (occurs 1 time)
- L (occurs 2 times)
...