Shuffling Music and Combinations
Recall that a combination is a collection of items in which order, or how the items are arranged, does not matter. For example, the thousands of sandwiches you can build at a sandwich shop is an example of a combination because the order of the ingredients does not matter.
Most people nowadays have their music with them at all times, whether it be on their phones or mp3 players. Let's say you decide to shuffle all the music on your phone (100 songs) and listen to 10 of them
1. How many combinations of 10 songs could you listen to?
2. How would this number change if songs could be repeated?
3. If the order of the songs did matter, how many ways could you listen to your shuffled music?