which of the following statements is true regarding strictly binary tree

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

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

A

n*n

B

2n

C

2n - 1

Dn

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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.

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[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

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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

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

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Option 4 : A, B and C

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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 nodesTrue, 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 isA, B, and C.

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Q1. A strictly binary tree with 10 leavesQ2. A binary tree T has 20 leaves. The number of nodes in T having two children is _______.

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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 nodesQ2. 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?

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Data Structures | Binary Trees | Question 1

Difficulty Level : Expert

Last Updated : 28 Jun, 2021

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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 aboveAnswer: (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

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