Arrangements and Combinations · Catalan Numbers: Introduction
Lesson 1
Problem. Let \(M(n)\) be the number of mountain ranges consisting of \(n\) ascents and \(n\) descents (and not going below ground, of course). For example, \(M(3)=5\):
4 points
Arrangements and Combinations · Catalan Numbers: Introduction
Problem. Let \(M(n)\) be the number of mountain ranges consisting of \(n\) ascents and \(n\) descents (and not going below ground, of course). For example, \(M(3)=5\):