Two new drugs are to be tested using a group of 50 laboratory mice, each tagged with a number for identification purposes. Drug A is to be given to 17 mice, drug B is to be given to another 17 mice, and the remaining 16 mice are to be used as controls. How many ways can the assignment of treatments to mice be made? (A single assignment involves specifying the treatment for each mouse-whether drug A, drug B, or no drug.) (Enter the exact number or an equivalent algebraic expression.) 1.14899529 · 1022

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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.