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