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Box of jelly beans
Each compartment in this box contains six jelly beans of the same flavour. They are arranged in two layers of three beans. There is a different flavour in each compartment.
How many different flavours are there in the box? How many beans are there altogether?
Jelly beans are sold in "40 official flavours". Suppose that the jelly bean company asks you to design a similar box that could hold all 40 flavours. Is this possible?
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