The permutation combination of license plate is 35152000.
Numbers can be 10 digits (0, 1, 2, …, 9) and 26 letters (A, B, C, ..., Z).
Repetition is allowed, leaving 26 next choices for each letter used and 10 next choices for each digit used.
Therefore, according to the multiplication principle, the total number of different letter permutations.
26× 26 × 26 = 17576
and the total number of digit permutation: 10 × 10 × 10 = 1000
now, they can be in any order:
⁶C₃ = 6!/(6−3)!3!
We have to consider 20 different combinations of positions.
So the total number of different license plates possible by the multiplication principle is
17576 × 1000 × 20 = 351520000
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