2. (12 points, 4 points each) A bowl containing hard candies has 50 cherry pieces, 50 strawberry pieces, 40 orange pieces, and 70 pineapple pieces. All pieces of a flavor are identical. You grab 15 pieces of candy. a. How many different handfuls are possible? b. How many different handfuls are possible if you have at least two of each flavor? c. How many different handfuls are possible that contain four or less orange pieces