Please explain why such an answer to the problem, how to solve it?

Question

Combinatorics

How many words containing five letters each can be made from 33 letters if repetitions are allowed, but no two adjacent letters must be the same, i.e. words such as “press” or “quarrel” are not allowed?
Answer: 33*32^5

Answer 1

The first letter - any, 33
Each next - any except the previous one, 32
What is there to understand something?
PS Only after all 33 * 32 ^ 4

Answer 2

Let's start with your answer being wrong.
In the first place in the word, we can choose any of the 33 letters.
In second place, we can put one of the 32 letters (you can’t repeat the next letter!).
We can also put one of the 32 letters in the third place.
The fourth and fifth places are the same.
According to the combinatorial multiplication rule, the number of different 5-letter words is 33*32*32*32*32 = 33*32^4.