Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  The height of a tree is the length of the lon... Start Learning for Free
The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 are
  • a)
    63 and 6, respectively
  • b)
    64 and 5, respectively
  • c)
    32 and 6, respectively
  • d)
    31 and 5, respectively
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The height of a tree is the length of the longest root-to-leaf path in...
Explanation:

To find the maximum and minimum number of nodes in a binary tree of height 5, we need to consider the fact that the number of nodes in a binary tree of height h is between 2^h and 2^(h+1)-1.

Maximum number of nodes:

For a binary tree of height 5, we have:

- Minimum number of nodes at height 5: 2^5 = 32
- Maximum number of nodes at height 5: 2^6 - 1 = 63

Therefore, the maximum number of nodes in a binary tree of height 5 is 63.

Minimum number of nodes:

For a binary tree of height 6, we have:

- Minimum number of nodes at height 6: 2^6 = 64
- Maximum number of nodes at height 6: 2^7 - 1 = 127

Therefore, the minimum number of nodes in a binary tree of height 5 is 64.

Conclusion:

The maximum and minimum number of nodes in a binary tree of height 5 are 63 and 64, respectively.
Free Test
Community Answer
The height of a tree is the length of the longest root-to-leaf path in...
If height is 5 then binary tree contains min 5 nodes and maximum 2^(5+1)-1=63
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer?
Question Description
The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect 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 The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect 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 The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect 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 The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The height of a tree is the length of the longest root-to-leaf path in it. The maximum and minimum number of nodes in a binary tree of height 5 area)63 and 6, respectivelyb)64 and 5, respectivelyc)32 and 6, respectivelyd)31 and 5, respectivelyCorrect 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