License plates in a particular state display 2 letters followed by 5 numbers. How many different license plates can be manufactured for this state?
There are 26 choices for each of the two letters in the license plate, and 10 choices for each of the five numbers. Therefore, the total number of possible license plates is:
26^2 * 10^5 = 676,000,000
So, there can be 676,000,000 different license plates manufactured for this state.