A license plate consists of 2 uppercase letters followed by 4 digits. If repetition of letters is allowed, and repetition of digits is not allowed, how many different license plates are possible?
1 year ago
1 year ago
To calculate the number of different license plates possible, we need to consider the number of options for each position on the plate.
First, let's consider the two uppercase letters. Since repetition of letters is allowed, there are 26 possibilities for each letter.
Next, we have four digits. Since repetition of digits is not allowed, there are 10 possibilities for the first digit, 9 possibilities for the second digit, 8 possibilities for the third digit, and 7 possibilities for the fourth digit.
To find the total number of different license plates possible, we can multiply the number of possibilities for each position:
Number of possibilities for letters = 26 * 26 = 676
Number of possibilities for digits = 10 * 9 * 8 * 7 = 5,040
Total number of different license plates possible = 676 * 5,040 = 3,408,640
Therefore, there are 3,408,640 different license plates possible.