How many 3-digit even numbers can be made using the digits 1,2,3,4,6,7 if no digit is repeated?

Explanation

To solve the problem of finding how many 3-digit even numbers can be formed using the digits 1, 2, 3, 4, 6, and 7 without repeating any digit, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Even Digits**:
The digits available are 1, 2, 3, 4, 6, and 7. The even digits among these are 2, 4, and 6. Since we are forming an even number, the last digit (unit place) must be one of these even digits.

2. **Choose the Last Digit**:
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