Renae wonders, “What if I program my MP3 player to randomly play $3$ songs?”

1. Assuming that her MP3 player is still programmed as described in problem 4-53, how many combinations of $3$ songs could she listen to? Make a list of all the combinations. Remember that the order of the songs is not important.

   Hint (a):

   Your list should include $10$ different combinations.

2. Compare your answer to part (a) with the number of combinations that she could have with $2$ songs in problem 4-50. Why does it make sense that these are the same?

   Answer (b):

   For every two songs that are played, there are automatically three songs that are not.
   Therefore, this problem simply switched the list of played songs and unplayed songs.