AMC 8 2025 Problem 25
AMC8 2025 年第 25 题
排列与组合★★★★★
Makayla finds all the possible ways to draw a path in a $5×5$ diamond-shaped grid. Each path starts at the bottom of the grid and ends at the top, always moving one unit northeast or northwest. She computes the area of the region between each path and the right side of the grid. Two examples are shown in the figures below. What is the sum of the areas determined by all possible paths?
在一个5×5的菱形网格中找到了所有可能的绘制路径的方式。每条路径从网格底部开始，到网格的顶部结束，总是朝东北或西北方向移动一个单位。她计算了每条路径与网格右侧边缘之间的区域面积。下图展示了两个示例。请问所有可能路径与网格右侧边缘之间的区域面积之和是多少？
- A.2520
- B.3150
- C.3840
- D.4730
- E.5050
正确答案 · Correct Answer
B
解析 · Solution
解析整理中
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