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
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 |
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 |
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 |
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 |
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