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# Number of possible binary tree with 3 nodes is?

Updated: 4/28/2022

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Q: Number of possible binary tree with 3 nodes is?
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### The height of Complete Binary tree is in terms of :option1. n2. logn3. n^2?

The height of a complete binary tree is in terms of log(n) where n is the number of nodes in the tree. The height of a complete binary tree is the maximum number of edges from the root to a leaf, and in a complete binary tree, the number of leaf nodes is equal to the number of internal nodes plus 1. Since the number of leaf nodes in a complete binary tree is equal to 2^h where h is the height of the tree, we can use log2 to find the height of a complete binary tree in terms of the number of nodes.

### What is incomplete binary tree?

Incomplete Binary Tree is a type of binary tree where we do not apply the following formula: 1. The Maximum number of nodes in a level is 2

### What is the largest possible number of internal nodes in a red-black tree with black height k?

largest possible number is (2^2k) - 1 nodes when every other node down to the path is red and it is complete binary tree with height 2k. smallest is (2^k) - 1 nodes

### There are 8 15 13 14 nodes were there in 4 different trees Which of them could have formed a full binary tree?

In general: There are 2n-1 nodes in a full binary tree. By the method of elimination: Full binary trees contain odd number of nodes. So there cannot be full binary trees with 8 or 14 nodes, so rejected. With 13 nodes you can form a complete binary tree but not a full binary tree. So the correct answer is 15. niraj

### What is the minimum number of nodes in a binary tree of depth k?

if u assign a 0th level to root of binary tree then,the minimum no. of nodes for depth K is k+1.

### What is the number of nodes in a strictly binary tree which has n leaves?

IF EVERY NON-LEAF NODE IN A BINARY TREE HAS HAS NONEMPTY LEFT AND RIGHT SUBTREES, THE TREE IS TERMED AS A STRICTLY BINARY TREE. SUCH A TREE WITH n LEAVES ALWAYS CONTAINS 2n-1 NODES.

### Definition of almost complete binary tree?

A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.

### What is the difference between strictly binary tree and complete binary tree?

Complete Binary tree: -All leaf nodes are found at the tree depth level -All nodes(non-leaf) have two children Strictly Binary tree: -Nodes can have 0 or 2 children

2n-1

### What is the difference between extended binary tree and complete binary tree?

Complete Binary tree: All leaf nodes are found at the tree depth level and All non-leaf nodes have two children. Extended Binary tree: Nodes can have either 0 or 2 children.

### Why you represent the general trees as binary trees?

General trees are not binary trees. It is the other way around, however, see the last paragraph for a different answer - explanation first... A binary tree is one with two possible child nodes, a left node and a right node, either of which might be not present. This particular representation implies a certain order between the node and its children, and if you walk the tree from bottom left to bottom right, you will traverse the nodes in order. A general tree is one with any number of possible child nodes, including no child nodes, so a binary tree is an example of a general tree, while a general tree is a generalization of a binary tree. However, in the general tree, the meaning of the child nodes might not have any specific ordering, like those in a binary tree, unless the general tree has other information contained in the node about order, because the concept of left and right has no implied meaning when there are more than two children. But, as promised, if the general tree has order, it is always possible to represent the general tree as a binary tree - there will just be more nodes, but they will only contain zero, one, or two children, and they will have an implied order.

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