AMC 8 2024 Problem 17
AMC8 2024 年第 17 题
排列与组合★★★☆☆
A chess king is said to attack all the squares one step away from it, horizontally, vertically, or diagonally. For instance, a king on the center square of a 3 × 3 grid attacks all 8 other squares, as shown below. Suppose a white king and a black king are placed on different squares of a 3 × 3 grid so that they do not attack each other. In how many ways can this be done?
在国际象棋中，"国王"可以进攻横向、纵向或对角线方向上所有距离一步的棋格。如下图所示，在一个3×3棋盘中，位于中心位置的"国王"可以进攻其他8个棋格。假设要在一个3×3棋盘的不同方格中放入一枚白色"国王"和一枚黑色"国王"，请问有多少种放置方式可以使得这两个"国王"不会互相进攻？
正确答案 · Correct Answer
E
解析 · Solution
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