Question

Mike, a DJ at a high school radio station, need to play two or three more songs before the end of the
school dance. If each composition must be selected from a list of the 10 most popular songs of the
year how many unique song schedules are available for the remainder of the dance, if the songs
cannot be repeated ?​

Answer 1

Answer:

For this question, we will use the Fundamental Counting Principle. We can have either two-song lists or three-song lists. We will count them separate an add. Notice that having the same songs in different orders count as different playlists, according to this setup.