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019概率中等数值题medium

Distinct Ordered Triples With a Modular Sum and a Large Entry

题目

How many ordered triples (a,b,c) of distinct elements chosen from {0,1,2,3,4,5,6,7,8} satisfy a+b+c ≡ 1 (mod 3) and max(a,b,c) > 5?

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