How many three different digit numbers less than 500 can be formed from the integers 1,2,3,4,5,6?

To determine the number of three-digit numbers less than 500 that can be formed from the integers 1, 2, 3, 4, 5, and 6, we need to consider the constraints: the number must be less than 500, and the digits must be distinct.

### Step-by-Step Solution

1. **Identify Total Digits and Constraints:**
   - We have 6 digits: {1, 2, 3, 4, 5, 6}.
   - The number must be less than

Learn how to count the number of three-digit numbers less than 500 that can be formed using the digits 1, 2, 3, 4, 5, and 6. This problem involves understanding permutations and combinations with distinct digits. Suitable for students in Grades 7-9.

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