A theater company has 10 scripts, and from these, will choose a fall play, a winter play, and a spring play. Different orders of the same plays produce a different possible season for the company. How many possible seasons are there?
Order matters, so this is permutation. Use the Fundamental Counting Principle.
fall play = 10 choices
winter play = 9 remaining choices
spring play = 8 remaining choices
Total = 10*9*8 = 10*72 = 720 possible seasons.