How can one determine the number of integers containing specific digits within a certain range?

To determine the number of integers that contain specific digits within a given range, identifying the lower and upper bounds of the possible numbers is essential. This process involves recognizing the starting and ending points of the range, which allows for the establishment of limits within which to search for integers fitting the criteria of containing the specific digits.

By defining these bounds, you can systematically explore the integers within that range to check for the presence of the required digits. This step is crucial because without clearly defined boundaries, you're unable to ascertain which integers are relevant for your count. Once the bounds are established, you can proceed to examine each integer to determine if it meets the criteria.

This approach provides a structured way to solve the problem, ensuring that no potential candidates are overlooked and simplifying the counting process within the defined limits.