License plates in a particular state display 2 letter followed 4 numbers. How many different license plates can be manufactured for this state?
There are 26 letters in the English alphabet (excluding Q and U because they are not used as the first letter on US license plates) and 10 possible digits (0-9) that can be used for the numbers on the license plates.
Therefore, there are 26 choices for the first letter, 26 choices for the second letter, 10 choices for the first digit, 10 choices for the second digit, 10 choices for the third digit, and 10 choices for the fourth digit.
To find the total number of different license plates that can be manufactured, we multiply all the possibilities together:
26 choices for the first letter * 26 choices for the second letter * 10 choices for the first digit * 10 choices for the second digit * 10 choices for the third digit * 10 choices for the fourth digit
This gives us a total of:
26 * 26 * 10 * 10 * 10 * 10 = 6,760,000 different license plates that can be manufactured for this state.