How many even numbers are there with three digits such that if 5 is one of the digits, then 7is the next digit?

Explanation

To solve the problem of finding how many even numbers there are with three digits such that if 5 is one of the digits, then 7 is the next digit, we can break the solution down into two cases:

### Case 1: 5 is not one of the digits

1. **Identify the last digit (even number)**: The last digit of a three-digit even number can be 0, 2, 4, 6, or 8. This gives us 5 options for the last digit.

2. **Identify the first digit**: The first digit can be any digit from 1 to 9 (since it cannot be 0). Therefore, we have 9 options for the first digit.

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