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UKMT Grey Kangaroo, 2024

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

The digits 0 to 9 can be drawn with horizontal and vertical segments, as shown. Greg chooses three different digits. In total, his digits have 5 horizontal segments and 10 vertical segments. What is the sum of his three digits?

(A) $9$ (B) $10$ (C) $14$ (D) $18$ (E) $19$

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