Problem Solving
Sweets in a Box investigation
A sweet manufacturer has decided to design some gift boxes for a new kind of sweet.
Each box is to contain 36 sweets placed in lines in a single layer in a geometric shape without gaps or fillers.
How many different shaped boxes can you design?
The sweets come in 4 colours, 9 of each colour.
Arrange the sweets so that no sweets of the same colour are adjacent to (that is 'next to') each other in any direction. In the picture below, none of the squares marked x can have a red sweet in them.
