Use​ permutations, combinations, the fundamental counting​ principle, or other counting​ methods, as appropriate. In how many ways can a class of seventeen students be divided into three sets so that four students are in the first​ set, five students are in the​ second, and eight are in the​ third?

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A: It is an important part of statistics. It is widely used.

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.