# which of the following statements is true regarding strictly binary tree

### Mohammed

Guys, does anyone know the answer?

get which of the following statements is true regarding strictly binary tree from screen.

## A strictly binary tree with n leaves always contains ................nodes.

Click here👆to get an answer to your question ✍️ A strictly binary tree with n leaves always contains ................nodes.

Question

## A strictly binary tree with n leaves always contains ................nodes.

**A**

## n*n

**B**

## 2n

**C**

## 2n - 1

**D**n

2 - 1 Medium Open in App Solution Verified by Toppr

Correct option is C)

A strictly binary tree with n leaves contains 2n-1 nodes. If n (1): a strictly binary tree with 1 leaf contains 2(1)-1 = 1 node.

A binary tree consists of a finite set of nodes that is either empty, or consists of one specially designated node called the root of the binary tree, and the elements of two disjoint binary trees called the left subtree and right subtree of the root.

Was this answer helpful?

2 0

## [Solved] Which of the following is/are correct about a strictly binar

The correct answer is option 3. Concept: Option 1: A binary tree is called a strictly binary tree if every non-leaf node of it has a non-empty left

Home Programming and Data Structure Tree Strict Binary Tree

## Question

Download Solution PDF

Which of the following is/are correct about a strictly binary tree?

A. A binary tree is called strictly binary tree if every non-leaf node of it has non empty left and right sub tree

B. In strictly binary tree can have two children or no child

C. A strictly binary tree with n leaves always contact 2n-1 nodes

This question was previously asked in

UPPCL AE CS 2016 Official Paper (Held on 12 Nov 2016)

Download PDF Attempt Online

View all UPPCL Assistant Engineer Papers >

Only A Only B A and B A, B and C

## Answer (Detailed Solution Below)

Option 4 : A, B and C

Crack AE & JE - Electrical with

India's Super Teachers

FREE

Demo Classes Available*

Explore Supercoaching For FREE

**Free Tests**

View all Free tests >

FREE

ST 1: Electric Circuits

3 K Users

20 Questions 20 Marks 20 Mins

Start Now

## Detailed Solution

Download Solution PDF

The correct answer is **option 3.**

**Concept:**

**Option 1: A binary tree is called a strictly binary tree if every non-leaf node of it has a non-empty left and right subtree.**

**True,**A binary tree is said to be strictly binary if every non-leaf node in it has nonempty left and right subtrees. A strictly binary tree with N leaves has 2N – 1 node at all times.

**Option 2: In a strictly binary tree can have two children or no child.**

**True**, The binary tree is said to be strictly binary if nodes in a strictly binary tree are always of degree zero or two, and never of degree one.

**Option 3: A strictly binary tree with n leaves always contact 2n-1 nodes**

**True**, The binary tree is said to be strictly binary if a strictly binary tree with N leaves has 2N – 1 node at all times. If the above example has 4 leaf nodes and the total number of the node are 2(4)-1 = 7 nodes.

**Hence the correct answer is**A, B, and C.

Download Solution PDF

Share on Whatsapp

Latest UPPCL Assistant Engineer Updates

Last updated on Dec 17, 2022

UPPCL AE Result for Civit is out on 17th December 2022! This is with reference to Advt. No. 05/VSA/2022/AE/Civil. The result has been released in the form of a PDF File and the candidates can check out their roll numbers in the PDF by using Ctrl+F. Also, note that the recruitment is also ongoing for 14 vacancies of AE Civil (Advt. No. 05/VSA/2022/AE/Civil). The selection process for UPPCL AE includes CBT and Personal Interview. The salary of the finally appointed candidates will be as per Pay Matrix Level 10.

India’s **#1 Learning** Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Get Started for Free

Download App

Trusted by 3.5 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More Strict Binary Tree Questions

**Q1.**A strictly binary tree with 10 leaves

**Q2.**A binary tree T has 20 leaves. The number of nodes in T having two children is _______.

## More Tree Questions

**Q1.**Which of the following is/are correct about a strictly binary tree? A. A binary tree is called strictly binary tree if every non-leaf node of it has non empty left and right sub tree B. In strictly binary tree can have two children or no child C. A strictly binary tree with n leaves always contact 2n-1 nodes

**Q2.**The preorder traversal sequence of a binary search tree is 25, 15, 10, 4, 12, 22, 18, 24, 50, 35, 31, 44, 70, 66, 90 Which one of the following is the postorder traversal sequence of the same tree?

**Q3.**Consider the height of a tree as the number of edges in the longest path between the root node and leaf nodes. If T is a binary tree of height 3, then what is the smallest and largest number of nodes that T can have?

**Q4.**In a binary tree with n nodes, every node has an odd number of descendants. Every node is considered to be its own descendant. What is the number of nodes in the tree that have exactly one child?

**Q5.**How many different trees are there with four nodes A, B, C and D ?

**Q6.**A complete n-ary tree is a tree in which each node has n children or no children. Let I be the number of internal nodes and L be the number of leaves in a complete n-ary tree. If L = 41, and I = 10, What is the value of n ?

**Q7.**Consider a full binary tree with n internal nodes, internal path length i, and external path length e. The internal path length of a full binary tree is the sum, taken over all nodes of the tree, of the depth of each node. Similarly, the external path length is the sum, taken over all leaves of the tree, of the depth of each leaf. Which of the following is correct for the full binary tree?

**Q8.**Postorder traversal of a given binary search tree T produces following sequence of keys: 3, 5, 7, 9, 4, 17, 16, 20, 18, 15, 14 Which one of the following sequences of keys can be the result of an in-order traversal of the tree T?

**Q9.**Consider the following statements. S1 : The sequence of procedure calls corresponds to a preorder traversal of the activation tree. S2 : The sequence of procedure returns corresponds to a postorder traversal of the activation tree. Which one of the following options is correct?

## Data Structures

A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions.

## Data Structures | Binary Trees | Question 1

Difficulty Level : Expert

Last Updated : 28 Jun, 2021

Read Discuss(3) Courses Practice Video

Which of the following is a true about Binary Trees

**(A)**Every binary tree is either complete or full.

**(B)**Every complete binary tree is also a full binary tree.

**(C)**Every full binary tree is also a complete binary tree.

**(D)**No binary tree is both complete and full.

**(E)**None of the above

**Answer:**

**(E)**

**Explanation:**A full binary tree (sometimes proper binary tree or 2-tree or strictly binary tree) is a tree in which every node other than the leaves has two children.

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.

A) is incorrect. For example, the following Binary tree is neither complete nor full

12 / 20 / 30

B) is incorrect. The following binary tree is complete but not full

12 / \ 20 30 / 30

C) is incorrect. Following Binary tree is full, but not complete

12 / \ 20 30 / \ 20 40

D) is incorrect. Following Binary tree is both complete and full

12 / \ 20 30 / \ 10 40

Please refer http://en.wikipedia.org/wiki/Binary_tree#Types_of_binary_trees

Quiz of this Question

Recommended

Solve DSA problems on GfG Practice.

Solve Problems

Guys, does anyone know the answer?