Table of Contents
- 1 What is maximum number of nodes in a symmetric binary tree with depth 6?
- 2 What is the maximum number of nodes there in a binary tree having depth of 5?
- 3 What is the maximum number of nodes in a binary tree of depth 10?
- 4 What is the maximum number of nodes in a complete binary tree with depth 3?
- 5 What is the maximum number of nodes on level i of a binary tree?
- 6 What is the maximum number of nodes in Level I of a binary tree and what is the maximum number of nodes in a binary tree of depth k?
- 7 What is the maximum possible number of nodes in a binary tree at Level 6 *?
What is maximum number of nodes in a symmetric binary tree with depth 6?
and the answer is 127.
What is the maximum number of nodes there in a binary tree having depth of 5?
Solution: According to formula discussed, max number of nodes = 2^(h+1)-1 = 2^6-1 =63. min number of nodes = h+1 = 5+1 = 6.
How many nodes are in a binary tree of depth?
A proper binary tree is one where all internal nades have exactly two children. A complete binary tree is a proper binary tree where all leaves have the same depth. Properties of a binary tree: in a complete binary tree, the number of nodes at depth d is 2d….Special Case: Binary Trees.
| Operation | Array | Linked |
|---|---|---|
| insert | O(n) | O(1) |
What is the maximum number of nodes in a binary tree of depth 10?
1024
The maximum number of nodes in a binary tree of depth 10: 1024.
What is the maximum number of nodes in a complete binary tree with depth 3?
Answer: A perfect binary tree of height 3 has 23+1 – 1 = 15 nodes.
What is the maximum number of nodes in a binary tree?
2l-1
1) The maximum number of nodes at level ‘l’ of a binary tree is 2l-1. Here level is number of nodes on path from root to the node (including root and node). Level of root is 1. This can be proved by induction.
What is the maximum number of nodes on level i of a binary tree?
For example, level of root is 1 and levels of left and right children of root is 2. The maximum number of nodes on level i of a binary tree is : if level is 3 then there will be maximum 7 nodes in the binary tree. which is 2^3-1=8-1=7.
What is the maximum number of nodes in Level I of a binary tree and what is the maximum number of nodes in a binary tree of depth k?
The maximum number of nodes in a binary tree of depth k is 2k−1, k≥1. Here the depth of the tree is 1. So according to the formula, it will be 21−1=1.
Is the maximum number of nodes in the branch of the tree?
2) The Maximum number of nodes in a binary tree of height ‘h’ is 2h – 1. Here the height of a tree is the maximum number of nodes on the root to leaf path. Height of a tree with a single node is considered as 1.
What is the maximum possible number of nodes in a binary tree at Level 6 *?
Discussion Forum
| Que. | What is the maximum possible number of nodes in a binary tree at level 6? |
|---|---|
| b. | 6 |
| c. | 1 |
| d. | 64 |
| Answer:64 |