What is the formula for determining the number of nodes in a full binary tree where H is the height of the tree? A) 2^{H - 1} + 1 B) 2^H + 1 C) 2^{H + 1} D) 2^{H + 1} - 1

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Quizplus · Accepted Answer

The formula for determining the number of nodes in a full binary tree is 2^(H+1) - 1. In this formula, ^{refers to the number of nodes at the beginning of the tree (which is always 1), while} refers to the number of nodes at the end of the tree (which is always 0). Therefore, plugging in the values, we get 2^(H+1) - 1 - 1, which simplifies to 2^(H+1) - 2. This is equivalent to the choice D, which is 2^{H + 1} - 1.

What Is the Formula for Determining the Number of Nodes