A cupcake shop produces 5 types of cupcakes, one of which is chocolate. Assume there is a large amount available of each type of cupcake.
1/ How many different selections of 8 cupcakes are there?
2/ How many different selections of 8 cupcakes have at least 3 chocolate cupcakes?
3/ How many different selections of 8 cupcakes have at most 2 chocolate cupcakes?