How many combinations are possible when rolling all Platonic solid dice?

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I bought a set of five platonic solid dice and I'm wondering how many combinations exist if you roll them all at once. Thanks for your help

Platonic solid dice are: 4, 6, 8, 12, 20 sided

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$$4\times6\times8\times12\times20=46080$$

That's an application of the Rule of product.