The marketing department has been given the assignment of designing color codes for the 44 different lines of compact disks sold by Goody Records.

The marketing department has been given the assignment of designing color codes for the 44 different lines of compact disks sold by Goody Records. Three colors are to be used on each CD but a combination of three colors used for one CD cannot be rearranged and used to identify a different CD. This means that if green, yellow and violet are used to identify one line, then yellow, green, and violet (or any other combination of these three colors) cannot be used to identify another line.