License plates are made using 3 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?
A) 308,915,776
B) 1,757,600
C) 175,760
D) 1,000,000
E)17,576,000

Question

Quizplus · Accepted Answer

Since repetition is allowed, each of the 3 letters can be any of the 26 letters in the alphabet, and each of the 3 digits can be any of the 10 digits (0-9). Therefore, the total number of plates is $26^3 \times 10^3 = 17,576 \times 1,000 = 17,576,000$.

License Plates Are Made Using 3 Letters Followed by 3