For the following problem, solve it in detail (show all of your steps).

Answer the following questions:

a) For a catered event, how many unique ways can 4 appetizers be selected from 12 available? b) For a first prize of $1000, 2^nd prize of $100, 3^rd prize of $50, and a 4^th prize of $10, how many different ways can 4 people be selected from 12 people for the four prizes?

c) Explain why the answers to part a and b are different.