How do you solve a permutation question involving repetition AND multiple identical objects?

Question

Question: License plates in British Columbia have the form ABC 123 or 123 ABC. All 26 letters (A to Z) and 10 digits (0 to 9) may be used more than once. How many plates are possible?

Answer 1

$2$ ways for the reversal of numbers and letters times $26^3$ ways for the letters times $10^3$ ways for the numbers.

$$2\cdot26^3\cdot10^3 = 35152000$$