Question: Recall that in a binary tree, a node may have 0, 1, or 2 children. In the following questions about binary trees, the height of

Recall that in a binary tree, a node may have 0, 1, or 2 children. In the following questions about binary trees, the height of a tree is the length (number of edges) of the longest path. A tree consisting of just one node has height 0.

(a) What is the maximum number of nodes in a binary tree of height d?

(b) What is the minimum number of nodes in a binary tree of height d?

(d) What is the minimum height of a binary tree containing n nodes?

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