Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Level of a node is distance from root to that... Start Learning for Free
Level of a node is distance from root to that node. 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 
In the following answers, the operator '^' indicates power.
  • a)
    2^(i-1)
  • b)
    2^i
  • c)
    2^(i+1)
  • d)
    2^[(i+1)/2]
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Level of a node is distance from root to that node. For example, level...
 Number of nodes of binary tree will be maximum only when tree is full complete, therefore answer is 2^(i)-1
So, option (A) is true.

View all questions of this test
Most Upvoted Answer
Level of a node is distance from root to that node. For example, level...
Explanation:



The maximum number of nodes on level i of a binary tree is given by the formula: 2^(i-1)

Proof:



Let's consider the levels of the binary tree from top to bottom. The root node is at level 1, its children are at level 2, their children are at level 3, and so on.

At level 1, there is only one node which is the root node. Therefore, the maximum number of nodes on level 1 is 2^(1-1) = 1.

At level 2, there can be at most two nodes because each node at level 1 can have at most two children. Therefore, the maximum number of nodes on level 2 is 2^(2-1) = 2.

At level 3, each node at level 2 can have at most two children. Therefore, the maximum number of nodes on level 3 is 2^(3-1) = 4.

Similarly, at level i, each node at level i-1 can have at most two children. Therefore, the maximum number of nodes on level i is 2^(i-1).

Hence, the correct answer is option 'A' which is 2^(i-1).
Free Test
Community Answer
Level of a node is distance from root to that node. For example, level...
Abe tutarike sale tum बेटे pagal
Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

Top Courses for Computer Science Engineering (CSE)

Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer?
Question Description
Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer?.
Solutions for Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Level of a node is distance from root to that node. 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 isIn the following answers, the operator '^' indicates power.a)2^(i-1)b)2^ic)2^(i+1)d)2^[(i+1)/2]Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev