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Where did you dig up this one? I'm guessing it would take some time to answer it.

Before starting, let's decide whether "between 0 and 7" means inclusive: {0,1,2,3,4,5,6,7} or exclusive: {1,2,3,4,5,6}.

Please clarify and resubmit your question.

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Q: How many different six digit positive integers are there duplicates allowed where each digit is between 0 and 7 inclusive and the sum equals 20?
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