How many 3-digit even numbers can be made using the digits 1,2,3,4,5,6,7 if no digits is repeated?

Explanation

To find the number of 3-digit even numbers that can be formed using the digits 1, 2, 3, 4, 5, 6, and 7 without repeating any digits, we can follow these steps:

### Step 1: Identify the last digit
Since we want to form an even number, the last digit (the unit's place) must be an even digit. The even digits available from the given set are 2, 4, and 6.

**Choices for the last digit:** 3 options (2, 4, or 6).

### Step 2: Choose the first digit
...