Given 7 spaces, each space can consist of a letter (26 letters in the alphabet), a number (numbers 0 to 9: for a total of 10 numbers), and a space (1).
Adding the amount of letters, numbers, and a space equals:
26 + 10 + 1 = 37 possible characters for each space on the license plate.
Since repeat characters are allowed, each space can have 37 possible characters.
The plate has 7 spaces so:
37 x 37 x 37 x 37 x 37 x 37 x 37
= 37^7 different combinations.