### Instruction: A valid license plate in Xanadu consists of two letters followed by three digits. How many valid license plates are possible?### Response: So there are 26 choices for the first letter and 26 choices for the second letter.
That's right. So there are $26 \cdot 26 = 676$ choices for the two letters.
Now, there are 10 choices for each of the three digits.
So there are $10 \cdot 10 \cdot 10 = 1000$ choices for the three digits.