If a tree has N levels, then the height of the tree is N - 1.Group of answer choicesTrueFalse

Statement Analysis

The question states that if a tree has N levels, then the height of the tree is $N - 1$.

Understanding Tree Structure

1. Levels Definition:

   • Levels are counted from the root of the tree. The root node is at level 1.
   • Therefore, if a tree has $N$ levels, starting from level 1 to level $N$, this means there are $N - 1$ edges from the root to the furthest leaf node.

2. Height Definition:

   • The height of a tree is defined as the length of the longest path from the root to a leaf node, measured in the number of edges not nodes.

Conclusion

Given the definitions:

• If a tree has $N$ levels, the height of the tree, which is the count of edges, is indeed $N - 1$.

Final Answer

True. If a tree has $N$ levels, then the height of the tree is $N - 1$.