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Help with a math problem neither my teacher nor chatgpt can answer?

No.1521827 View ViewReplyOriginalReport
Chatgpt says it's impossible to calculate without specialised software running algorythms.
The problem is this:
>you have a storage space that is 1360x243x240cm
>there is a product that is 5x8x4cm
>the products must be packaged, one package must have 60 products
>these products can be rotated or stacked in any way to make up a package
What is the optimal way to make a package if the goal is to fit as many packages into storage as possible?
Chatgpt can only give a practical answer that closely approximates the perfect stack.
If i'm not totally retarded there should be exactly 216000 ways to make a package, so how do we find the very best one?