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OpenStudy (anonymous):
To those intellectual people out there: Show using the twelve-fold way that, if T is a positive integer, the number of (ordered) solutions (x1; x2; x3; x4) to x1 + x2 + x3 + x4 = T, where x1; x2; x3; x4 are nonnegative integers, is given by (x+3) choose 3
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