选择题

2025 AMC 8 Problem 22: Coat Hooks

A classroom has a row of 35 coat hooks. Paulina likes coats to be equally spaced, so that there is the same number of empty hooks before the first coat and after the last coat, and between every coat and the next one. Suppose there is at least 1 coat and at least 1 empty hook. How many different numbers of coats can satisfy Paulina's pattern?

2025 AMC 8 第 22 题:衣帽钩

一间教室有一排35个衣帽钩。 Paulina 喜欢外套的间距相等,这样第一件外套之前和最后一件外套之后以及每件外套和下一件外套之间都有相同数量的空钩。假设至少有 1 件外套和至少 1 个空钩子。多少种不同数量的外套才能满足Paulina的图案

A.
2
B.
4
C.
5
D.
7
E.
9