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The given tournament can be modeled as a full binary tree with the winner of the entire tournament as the root. Which of the following is true for the binary tree? O Each internal vertex represents the winner of the game played by its two siblings, and there are 1000 leaves, one for each contestant. O Each internal vertex represents the winner of the game played by its parents, and there are 2000 leaves, two for each contestant.

O Each internal vertex represents the winner of the game played by its parents, and there are 1000 leaves, one for each contestant.

O Each internal vertex represents the winner of the game played by its two children, and there are 1000 leaves, one for each contestant.

O Each internal vertex represents the winner of the game played by its two children, and there are 2000 leaves, two for each contestant.

1 Answer

4 votes

Answer:

(d) Each internal vertex represents the winner of the game played by its two children, and there are 1000 leaves, one for each contestant.

Explanation:

You want to know the accurate description of a full binary tree representing a tournament.

Binary tree

Each node of a full binary tree has two children. This eliminates answer choices A, B, and C. Each contestant will be represented by one leaf, eliminating answer choice E.

The correct description is choice D:

Each internal vertex represents the winner of the game played by its two children, and there are 1000 leaves, one for each contestant.

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User Pavel Karoukin
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