1. **State the problem:** We need to find the number of possible license plates with the format of three digits followed by three letters. 2. **Given information:** - Digits used: 8 (digits 0-9 except 4 and 5) - Letters used: 26 - Repetition allowed for both digits and letters 3. **Formula used:** The counting principle with repetition allowed states that if there are $n$ ways to do one thing and $m$ ways to do another, then there are $n \times m$ ways to do both. 4. **Apply the formula:** - Number of ways to choose 3 digits: $8 \times 8 \times 8 = 8^3$ - Number of ways to choose 3 letters: $26 \times 26 \times 26 = 26^3$ 5. **Calculate total number of license plates:** $$ \text{Total} = 8^3 \times 26^3 $$ 6. **Simplify:** $$ 8^3 = 512 $$ $$ 26^3 = 17576 $$ 7. **Final answer:** $$ \text{Total} = 512 \times 17576 = 8998912 $$ So, there are **8,998,912** possible license plates.