In a simple binary tree with n nodes, how many edges does it contain?

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Multiple Choice

In a simple binary tree with n nodes, how many edges does it contain?

Explanation:
A tree with n nodes has exactly n-1 edges. In a binary tree, every node except the root is connected to its parent by one edge, so the total number of edges equals the number of non-root nodes, which is n-1. This reflects that a connected acyclic graph with n nodes always needs exactly n-1 connections to tie all the nodes together. The other options would require extra edges that would either create cycles or unnecessary connections, which a tree structure prohibits.

A tree with n nodes has exactly n-1 edges. In a binary tree, every node except the root is connected to its parent by one edge, so the total number of edges equals the number of non-root nodes, which is n-1. This reflects that a connected acyclic graph with n nodes always needs exactly n-1 connections to tie all the nodes together. The other options would require extra edges that would either create cycles or unnecessary connections, which a tree structure prohibits.

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