Standard automobile license plates in a country display 2 nu

Standard automobile license plates in a country display 2 numbers, followed by 2 letters, followed by 3 numbers. How many different standard plates are possible in this system? (Assume repetition of letters and numbers is allowed.)

Solution

I\'ll assume:
10 choices for digits (0 to 9)
26 choices for letters (A to Z)

Pattern:
Digit-Digit Letter-Letter Digit-Digit-Digit

10 x 10 x 26 x 26 x 10 x 10 x 10
= 10^5 x 26^2
= 67,600,000