Solve Counting Problems Using the Multiplication Rule
-License plates in a particular state display 2 letters followed by 4 numbers. How many different license plates can be manufactured (Repetitions are allowed.)
A) 6,760,000
B) 8
C) 36
D) 260

Question

Quizplus · Accepted Answer

For each of the 2 letters, there are 26 possibilities (since there are 26 letters in the alphabet), and for each of the 4 numbers, there are 10 possibilities (since numbers range from 0 to 9). Using the multiplication rule, the total number of different license plates is $26^2 \times 10^4 = 676,000$.