How many 3-digit even number can be formed form the digits 1,2,3,4,5,6 if the digits can be repeated?

Explanation

To solve the problem of how many 3-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, and 6 with repetition allowed, we can follow these steps:

### Step 1: Identify the last digit (unit place)
Since we want to form an even number, the last digit must be even. The even digits available from the given set are 2, 4, and 6. Therefore, we have 3 choices for the last digit.

**Choices for the last digit:** 2, 4, 6
**Number of choices for the last digit:** 3

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