Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem14

Levels 9&10 Video Solutions 2010 problem14

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The problem involves finding the number of different sums obtained by moving from point A to point B along various paths on a diagram. By examining the paths, one possible path accumulates sums of 1, 2, and 3, leading to a total of 6, then 9 when further numbers are added. Another path sum involves 1, 2, and 1, leading to 4, and then continues to sum to 7 when reaching B. After evaluating all possible paths and combinations, the only sums achievable are 7 and 9, resulting in exactly two different sums. Therefore, the answer is B 2.