How many different numbers which are smaller than `2xx10^(8)` and are divisible by 3, can be written by means of the digits 0,1 and 2?

Explanation

To solve the problem of finding how many different numbers smaller than \(2 \times 10^8\) and divisible by 3 can be formed using the digits 0, 1, and 2, we can follow these steps:

### Step 1: Understand the constraints
The number must be:
1. Smaller than \(2 \times 10^8\)
2. Composed of the digits 0, 1, and 2
3. Divisible by 3

...