The smallest one will have the 2nd and 3rd digits as large as possible, which is both 9's, and therefore the hundredths digiuts has to be 6, so 699 is the smallest. 1. 699 Then the next larger one can be made by increasing the 1st digit by 1 and decreasing the third digit by 1. 2. 789 The next larger one can be made by increasing the the 2nd digit by 1 and decreasing the 3rd digit by one. 3. 798 The next larger one can be made increasing the 1st digit by 1, and making the 3rd digit large as possible, and that leaves 7 for the 2nd digit: 4. 879 The next larger one can be made by increasing the 2nd digit by 1 and decreasing the 3rd by 1: 5. 888 The next larger one can be made by increasing the 2nd by 1 and decreasing the 3rd digit by 1: 6. 897 The next larger one will have to have to have a 9 as the 1st digit. We make the 3rd digit as large as possible, so it will be 9. That leaves 6 for the 2nd digit: 7. 969 The next larger one is gotten by increasing the 2nd digit by 1 and decreasing the 3rd digit by 1. 8. 978 The next larger one is gotten by increasing the 2nd digit by 1 and decreasing the 3rd digit by 1. 9. 987 The only thing left to do is increase the 2nd digit by 1 and decrease the 3rd digit by 1. 10. 996 That's the largest one possible. So the answer is "There are 10." Edwin