Question

License plates are made using 3 letter followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed?

Answer 1

26^3 + 10^2 = ?

Answer 2

17676

Answer 3

[AI-generated answer — Explain Bot]

To find the number of license plates that can be made, we need to calculate the number of possibilities for each part of the license plate and then multiply them together.

For the first three letters, there are 26 possibilities for each position (A-Z), and since repetition is allowed, each letter has the same number of options. Therefore, there are 26 * 26 * 26 = 26^3 = 17,576 possible combinations for the letters.

For the next two digits, there are 10 possibilities for each position (0-9), and as with the letters, repetition is allowed. So, there are 10 * 10 = 10^2 = 100 possible combinations for the digits.

To find the total number of license plates, we multiply the number of possibilities for each part: 17,576 * 100 = 1,757,600.

Therefore, there can be 1,757,600 different license plates made if repetition of letters and digits is allowed.