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First off, there are several types of trees in data structures. each with different uses and benefits. The two most common are binary trees and binomial trees.

Binary trees are used most commonly in search algorithms. The benefits of this is that a search can be performed in O(lg(n)) time, instead of the O(n) time that a sequential search takes. An example from the real world of a binary tree in action is in databases, where indexes are organized in a binary tree, thus enabling faster searching.

Binomial trees are usually used in communication, particularly when distributing or aggregating information. A real world example comes from supercomputers, where multiple processors are all working simultaneously. In order to aggregate or distribute data, a binomial tree structure is commonly employed.

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