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?

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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

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.

Question

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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