Which of the following statements are correct for the expression trees? (Select all that applies.) a. An expression tree is a binary tree. b. The root and internal nodes are operators. c. Each leaf is an operand. d. Subtrees are sub-expressions, with the root being an operator. 2. The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is: a. (2^h)-1 b. (2^(h+1))-1 c. 2*(h+1)-1 3. Which of the following statements are correct? (Select all that applies.) a. The maximum number of internal and external nodes in a proper binary tree with n nodes are (n-1)/2 and (n+1)/2, respectively. b. The maximum number of nodes at level k (k = 0,1,2,...) of a proper binary tree: 2^k c. Depth of a node refers to the number of ancestors. d. Height of a tree refers to the the maximum of the depths of its leaf positions.

Which of the following statements are correct for the expression trees? (Select all that applies.) a. An expression tree is a binary tree. b. The root and internal nodes are operators. c. Each leaf is an operand. d. Subtrees are sub-expressions, with the root being an operator. 2. The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is: a. (2^h)-1 b. (2^(h+1))-1 c. 2*(h+1)-1 3. Which of the following statements are correct? (Select all that applies.) a. The maximum number of internal and external nodes in a proper binary tree with n nodes are (n-1)/2 and (n+1)/2, respectively. b. The maximum number of nodes at level k (k = 0,1,2,...) of a proper binary tree: 2^k c. Depth of a node refers to the number of ancestors. d. Height of a tree refers to the the maximum of the depths of its leaf positions.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 6PE

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Question

Which of the following statements are correct for the expression trees? (Select all that applies.)

a. An expression tree is a binary tree.

b. The root and internal nodes are operators.

c. Each leaf is an operand.

d. Subtrees are sub-expressions, with the root being an operator.

2. The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is:

a. (2^h)-1

b. (2^(h+1))-1

c. 2*(h+1)-1

3. Which of the following statements are correct? (Select all that applies.)

a. The maximum number of internal and external nodes in a proper binary tree with n nodes are (n-1)/2 and (n+1)/2, respectively.

b. The maximum number of nodes at level k (k = 0,1,2,...) of a proper binary tree: 2^k

c. Depth of a node refers to the number of ancestors.

d. Height of a tree refers to the the maximum of the depths of its leaf positions.

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