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Problem 667

AMC 10/12, early questions

Combinatorics Difficulty 3.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2026

Four players each scored goals in a handball match. Each of them scored a different number of goals. Of the four, Will scored the fewest goals. The other three scored twenty goals in total. What is the largest number of goals Will could have scored?

(A) $2$ (B) $3$ (C) $4$ (D) $5$ (E) $6$

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