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A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type,

A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight different types if the inventory must include at least four SS?

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