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

### Step 1: Identify the even digits
The even digits available from the set {1, 2, 3, 4, 6, 7} are 2, 4, and 6. Since the number must be even, the last digit (the units place) must be one of these even digits.

### Step 2: Choose the last digit
We have 3 choices for the last digit:
- Last digit = 2
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