What is the maximum number of nodes at level 'l' in a binary tree?Group of answer choices2^(l+1)l^22^l2^(l-1)
Question
What is the maximum number of nodes at level 'l' in a binary tree?Group of answer choices2^(l+1)l^22^l2^(l-1)
Solution
The maximum number of nodes at level 'l' in a binary tree is 2^l.
Here's why:
In a binary tree, each node has at most two children. So, at level 0 (the root), there is 1 node (2^0 = 1). At level 1, there can be at most 2 nodes (2^1 = 2). At level 2, there can be at most 4 nodes (2^2 = 4), and so on.
So, in general, at level 'l', there can be at most 2^l nodes.
Similar Questions
n a binary tree, what is the maximum number of nodes that can be foundin level 3? In level 4? In level 12?
The maximum number of levels that a binary search tree with 3 nodes can have is 2.Group of answer choicesTrueFalse
The maximum number of nodes in acomplete binary tree i
In a full binary tree if number of internal nodes is I, then number of leaves L are?OptionsL = 2*IL = I + 1 L = I – 1L = 2*I – 1
Let T be a binary tree. The nodes in level k can be at most 2k, where k ≥ 0.Let T be a binary tree with λ levels. Then T has no more than 2^λ – 1 nodesLet T be a binary tree with N nodes. Then the number of levels is at least ceil(log (N + 1))Let T be a binary tree with N nodes. Then the number of levels is at least floor(log (N + 1))
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.