2023 AMC 10B Problem 16AMC 10 Step by Step
Name: Date: September 13, 2026
Basic Counting · difficulty 3 of 5 · about 4 min · position P16-20
Define an to be a positive integer of or more digits where the digits are strictly increasing moving left to right. Similarly, define a to be a positive integer of or more digits where the digits are strictly decreasing moving left to right. For instance, the number is an upno and is a downno. Let equal the total number of and let equal the total number of . What is ?
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