A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition. The total number of ways this can be done, is

Explanation

To solve the problem of forming a five-digit number divisible by 3 using the digits 0, 1, 2, 3, 4, and 5 without repetition, we can break it down into systematic steps.

### Step-by-Step Solution:

1. **Understanding the Criteria for Divisibility by 3:**
A number is divisible by 3 if the sum of its digits is divisible by 3. We will first calculate the sum of all available digits:
\[
0 + 1 + 2 + 3 + 4 + 5 = 15
...