If a license plate uses a three-digit number followed by three letters of the English alphabet, how many license plates can be made?
A)17,576,000
B)15,818,400
C)14,040,000
D)11,232,000

Question

Quizplus · Accepted Answer

The number of possible license plates can be calculated by multiplying the number of options for each position. For the three-digit number, each digit can be any of the 10 digits (0-9), so there are $10 \times 10 \times 10 = 1,000$ possibilities. For the three letters, each can be any of the 26 letters in the English alphabet, so there are $26 \times 26 \times 26 = 17,576$ possibilities. Multiplying these together gives $1,000 \times 17,576 = 17,576,000$ possible license plates.

If a License Plate Uses a Three-Digit Number Followed by Three