A political discussion group consists of four Democrats and seven Republicans. Three people areselected (at random) to attend a conference.a. In how many ways can three people be selected from this group of eleven?b. In how many ways can three Republicans be selected from the seven Republicans?c. Find the probability that the selected group will consist of all Republicans?

A political discussion group consists of four Democrats and seven Republicans. Three people areselected (at random) to attend a conference.a. In how many ways can three people be selected from this group of eleven?b. In how many ways can three Republicans be selected from the seven Republicans?c. Find the probability that the selected group will consist of all Republicans?

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.

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A political discussion group consists of four Democrats and seven Republicans. Three people are
selected (at random) to attend a conference.
a. In how many ways can three people be selected from this group of eleven?
b. In how many ways can three Republicans be selected from the seven Republicans?
c. Find the probability that the selected group will consist of all Republicans?

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