Maths Olympiad Prep

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Problem 349

Combinatorics Difficulty 2.0 Find the answer CEMC Gauss (Grade 7) · Canada · 2000

In a basketball shooting competition, each competitor shoots ten balls which are numbered from 11 to 1010. The number of points earned for each successful shot is equal to the number on the ball. If a competitor misses exactly two shots, which one of the following scores is not possible? (A) 5252 (B) 4444 (C) 4141 (D) 3838 (E) 3535

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