Madison has just burnt 15 songs onto a music mix CD, 5 are country, 5 are pop, and 5 are Disney songs.
If she is interested in randomly listening to 3 songs, how many different combinations of songs can she listen to if order does not matter?
What is the probability that all of the 3 songs she listened to in part A are country songs?
She changes her mind and wants to listen to a playlist of 5 songs. How many different combinations of songs can she listen to if order does matter?
What is the probability that all 5 of the songs in part D on her playlist are country songs where order matters?
What is the probability that of the 5 songs she listens to in part D, the first 3 are Disney songs and the last 2 are pop songs?