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2025 AMC 10A Problem 24

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2025 AMC 10A Problem 24AMC 10 Step by Step

Name: Date: September 13, 2026

Basic Counting · difficulty 5 of 5 · about 10 min · position P21-25

Call a positive integer fair if no digit is used more than once, it has no 0s, and no digit is adjacent to two greater digits. For example, $196$ , $23$ , and $12463$ are fair, but $1546$ , $320$ , and $34321$ are not fair. How many fair positive integers are there?

A)
$511$
B)
$2584$
C)
$9841$
D)
$17711$
E)
$19682$

2025 AMC 10A Problem 24

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