What is the maximum total number of nodes in a tree that has
N levels? Note that the root is level (zero)

Answers were Sorted based on User's Feedback



What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / mahfooz

2^N-1

because root is at level 0. and there are n levels only.
so last level i.e level of leaves should be n-1. for maximum
we will consider complete binary tree which is full at level
n-1.

for 0 level -> 2^0 i.e 1 element
for 1 level -> 2^1
...
so on

for n-1 levle ->2^(n-1) nodes
---------------------------
sum = 2^n-1

Is This Answer Correct ?    2 Yes 2 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / uday

he didnt mention type of tree as binary tree so answer for
at 0level is 1, for other levels max is infinate

Is This Answer Correct ?    0 Yes 0 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / saravana perumal

2pown-1

Is This Answer Correct ?    0 Yes 0 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / ubukkak

2^n - 1 is only binary tree
so
n! is number of tree with n node

Is This Answer Correct ?    0 Yes 0 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / m.eshwar

if the tree is binary tree [i.e two children max]then
2pow(N) is the answer
if it has 3 max children then
3pow(N)
...............................
if it has n max children then
npow(N)

Is This Answer Correct ?    4 Yes 7 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / pavan

2powN-1

Is This Answer Correct ?    9 Yes 19 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / prachi

2^N-1

Is This Answer Correct ?    2 Yes 14 No

What is the maximum total number of nodes in a tree that has N levels? Note that the root is level ..

Answer / srikanth

(n)2-1

Is This Answer Correct ?    11 Yes 34 No

Post New Answer

More Data Structures Interview Questions

What do you understand by doubly linked list?

0 Answers  


Can treeset contain duplicates?

0 Answers  


What is a dequeue?

0 Answers  


Write a program for Sorting an Array. Which sorting will you prefer?

0 Answers  


Given M x N matrix with sorted elements row wise and column wise, find elements?

0 Answers   Expedia,






Is arraylist better than array?

0 Answers  


What happens if we put a key object in a hashmap which exists?

0 Answers  


What is an ordered list?

0 Answers  


Write programs for Bubble Sort, Quick sort

15 Answers   Cognizant,


Define probing?

0 Answers  


How can you represent a linked list node?

0 Answers  


What is time complexity of quick sort?

0 Answers  


Categories