Since the first two digits are 12 in that order, there is only 1 way to choose the first two digits. That's 1 way to choose the first two digits. Since the third digit is bigger than 6, it can only be 7,8, or 9. So that's 1×3 choices for the the first three digits. Since the 4th digit is 3 times the 5th digit, the number can only end in 31, 62, or 93 So for each of the 1×3 way to choose the first 3 digits, there are 3 ways to choose the last two digits. That's a total of 1×3×3 = 9 possible numbers. Here are all 9: 1. 12731 2. 12762 3. 12793 4. 12831 5. 12862 6. 12893 7. 12931 8. 12962 9. 12993 Edwin