Find the number of three-digit numbers which are divisible by 5 and have distinct digits

Explanation

To solve the problem of finding the number of three-digit numbers that are divisible by 5 and have distinct digits, we will break it down into steps.

### Step 1: Understand the conditions
A three-digit number can range from 100 to 999. For a number to be divisible by 5, its last digit must be either 0 or 5.

### Step 2: Case 1 - Last digit is 0
If the last digit is 0, the number can be represented as _ _ 0. The first digit cannot be 0 (as it would not be a three-digit number), and it must be distinct from the second digit.

...