a. How many different ways can the officers be appointed? There are 7,920 different ways to appoint the officers. b. How many different ways can the committee be appointed? There are 462 different ways to appoint the committee. c. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates? 1 P(getting the five youngest of the qualified candidates) = 462 (Type an integer or a simplified fraction.)

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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.