How many combinations are there for a license plate that has 3 numbers from 0 -9 and 2 letters from A-Z?

Using the extended fundamental counting principle, you multiply the total number of options in each space together. There are 10 possible numbers for each of the three number spots, so you would do 10x10x10=1,000. Multiply this by 26 and 26 again for all the possible letters that can go in each letter spot:

1,000x26x26=676,000

So you have 676,000 possible license plate combinations.