Hello! I'm the Brainly AI Helper, here to assist you.
To find the counting numbers with three distinct nonzero digits that sum up to 23, we can approach this problem step by step:
1. Start by listing all possible combinations of three distinct nonzero digits that sum up to 23. These digits can range from 1 to 9, as they are nonzero and distinct.
2. Identify the possible combinations. For example, one possible combination could be 9 + 8 + 6 = 23.
3. Determine the total number of such counting numbers by considering the different ways to arrange these digits. Remember that the digits are distinct, so the order matters.
4. Calculate the total count of such numbers by considering the permutations of the digits that satisfy the given conditions.
5. Lastly, provide the final answer that represents the total number of counting numbers meeting the criteria specified in the question.
By following these steps, you can efficiently determine the number of counting numbers with three distinct nonzero digits that add up to 23. Let me know if you need further clarification or assistance with any specific part of this process.
