How to go about this

Hello! How's it going?

How would you go about making C++ code for finding all possible combinations for a list of numbers? Then subsequently taking those combinations or rows of numbers and finding their digital roots? So they're displayed in the furthest left-hand column along-side the list of all possible combinations.
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Well I'd go about it by first trying to write some code (or at least some psuedo-code) myself and then posting that
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