Solve the problem.
-How many different license plates can be made using 3 letters followed by 3 digits selected from the digits 0 through 9, if letters and digits may be repeated?
A) 17,576,000
B) 36
C) 260
D) 9

Question

Quizplus · Accepted Answer

For the three letters, since there are 26 letters in the alphabet and letters can be repeated, there are $26 \times 26 \times 26 = 17,576$ possibilities. For the three digits, since digits can range from 0 to 9 and can be repeated, there are $10 \times 10 \times 10 = 1,000$ possibilities. Multiplying these together gives $17,576 \times 1,000 = 17,576,000$ different license plates.

Solve the Problem. -How Many Different License Plates Can Be Made Using 3