A customer ordered 15 pieces of gourmet chocolate. The order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. Any box that is used must be full. How many different combinations of boxes can be used for the customer’s 15 chocolate pieces? One such combination to be included is to use seven 2-piece boxes and one 1-piece box.
+23245 Create a table with three columns
-- one column is the number of boxes that contain 1 piece of chocolate
-- one column is the number of boxes that contain 2 pieces of chocolate
-- one column is the number of boxes that contain 4 pieces of chocolate.
1 piece 2 pieces 4 pieces
______ _______ _______
15 0 0
13 1 0
11 2 0
11 0 1
9 3 0
9 1 1
7 4 0
7 2 1
7 0 2
5 5 0
5 3 1
5 1 2
etc.
