A student organization has 5 freshmen, 9 sophomores, 6 juniors, and 7 seniors. Six students will be selected to attend a conference. a. How many ways can the six students be chosen? b. How many ways can the six students be chosen with exactly 2 juniors? c. What is the probability that exactly 2 of the six students chosen are juniors?

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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.