选择题

2024 AMC 8 Problem 17: Chess Kings

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. 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 other words, not right next to each other). In how many ways can this be done?

2024 AMC 8 第 17 题:国际象棋国王

据说,国际象棋王会水平、垂直或对角地攻击距其一步之遥的所有方格。例如,位于 3 × 3 网格中心方格的国王会攻击所有其他 8 个方格。假设将一个白王和一个黑王放置在 3 × 3 网格的不同方格上,这样它们就不会互相攻击(换句话说,不是紧挨着)。有多少种方法可以做到这一点

A.
20
B.
24
C.
27
D.
28
E.
32