Math Problem Statement

Possible trees

Solution

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Math Problem Analysis

Mathematical Concepts

Graph Theory
Tree Structures
Connectivity

Formulas

A tree with n nodes has (n-1) edges
Spanning tree: a subgraph that connects all vertices without cycles

Theorems

Cayley's Theorem: Number of labeled trees with n vertices is n^(n-2)
A connected graph with no cycles is a tree

Suitable Grade Level

Grades 10-12