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B) 3 and 14 respectively

The minimum height of a binary search tree will be when tree is full complete tree: g20172_18 Now, let h be the height of the binary tree, then, 2^{0}+2^{1}+2^{2}+2^{3}+...+2^{h}=2^{h+1}-1 <= n 
So, Min height of a binary search tree = log2(n+1) - 1 = log2(15+1) - 1 = 4 - 1 = 3
The maximum height of a binary search tree will be when the tree is fully skewed: (like below) g20172_19 Max height of the binary search tree = n-1 = 15 - 1 = 14, where the tree is Skewed tree
Therefore, option B 

Answerd on:2018-05-30 Answerd By:deepuckraj

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