Counting Principles, math homework help

Option #1: Counting Principles #1

A scrambled word game challenges the user to create three-letter words (nonsense words included) from five different letters. If a letter cannot be used in a word more than once, how many potential words can be created?
How many license plates containing seven characters can be created from letters and numbers if the first two characters must be uppercase letters and the last five characters must be digits from 0 to 9? Repetition of numbers is allowed. Repetition of letters is not allowed.
How many ways can you rank your top three movies from the 38 movies on your laptop?

Requirements:

Show all your work so that the instructor clearly sees how you solved the problem.
Make sure your final answer is clear and visible.