Data Structures | Binary Trees | Question 4

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]


Answer: (A)

Explanation: 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.

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