License plates in a particular state display 3 letters followed by 4 numbers. How many different license platescan be manufactured? (Repetitions are allowed.)
A) 175,760,000
B) 12
C) 36
D) 260

Question

Quizplus · Accepted Answer

Since repetitions are allowed, each of the 3 letters can be any of the 26 letters in the alphabet, and each of the 4 numbers can be any of the 10 digits (0-9). Therefore, the total number of different license plates is $26^3 \times 10^4 = 17,576,000$.

License Plates in a Particular State Display 3 Letters Followed