In a shipment of 22 smart phones, 3 are defective. How many ways can a quality control inspector randomly test 5 smart phones, of which 3 are defective?
This is analogous to finding all the different sets consisiting of the 3 defective phones and any 2 of the other 19 non-defective phones
So.....the number of ways = C(19,2) = 171 ways