. License plates are made using 2 letters followed by 3 digits. How many different plates can be made if repetition of letters and digits is allowed?
The correct answer is 676000
To find the number of different license plates that can be made, we need to consider the total number of options for each position.
For the first letter, there are 26 options since there are 26 letters in the alphabet. The same goes for the second letter, also having 26 options.
For the first digit, there are 10 options (0-9), as there are 10 digits. The same goes for the second and third digits, which also have 10 options each.
Since the same letter or digit can be repeated, we need to multiply these options together to find the total number of different plates:
26 (options for the first letter) * 26 (options for the second letter) * 10 (options for the first digit) * 10 (options for the second digit) * 10 (options for the third digit).
Let's calculate it:
26 * 26 * 10 * 10 * 10 = 676,000
Therefore, there are 676,000 different license plates that can be made if repetition of letters and digits is allowed.