A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?

A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?

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...

See similar textbooks

Related questions

Q: The data that follow are the number of passengers on 31 different charter fishing boats. The sample…

A: A random variable XU(0,16)f(x)=sample mean=8.7Sample standard deviation=4.6

Q: A parent-teacher organization has six teachers and seven parents. How many four person committees…

A: The objective of this question is to find out the number of ways a four-person committee can be…

Q: A committee consists of 4 men and 5 women. Three members are to be selected at random to form a…

A: Given that Committee consists of 4 Men and 5 Women Then we have to choose 3 members to be…

Q: survey 100 students, 81 use Facebook, 36 use google, and 20 use both. what percentage uses what

A: Let represent the set of students who use Facebook, represent the set of students who use Google+,…

Q: There are 6 members on a board of directors. If they must elect a chair person, a secretary, and a…

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: A baseball team has 13 members: 10 male and 3 female. How many ways are there for choosing a roster…

A: Given that a baseball team has 13 members: 10 males and 3 females,

Q: A senate committee has 15 members. If a subcommittee of 6 senators is to be formed from the…

Q: There are 7 women and 8 men in a department.How many ways can this committee be selected if there…

A: To solve this problem, we need to find the number of ways to select a committee of 5 people from the…

Q: The qualified applicant pool for five management trainee positions consists of six women and five…

A: According to the provided information, 6 woman and 5 man Total number of members = 11 5 management…

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

Q: In a classroom there are 28 tablets which includes 5 that are defective. If seven tablets are chosen…

A: No.of defective tablets=5No.of non defective tablets=23

Q: A committee has 5 members. There are three members that curt serve As the board's chairman, ranking…

A: Given that, Total members, n= 5 Positions r= 3

Q: There are 2 2 green marbles and 2 blue marbles. what is the probabily of selecting two green without…

A: Given,Number of green marbles, n(G) = 2Number of blue marbles, n(B) = 2Total number of marbles, n =…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: INTRODUCTION

VIEW

Step 2: EXPLANATION AND SOLUTION

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A local radio station took a poll of 90 of its listeners to find out whether they like to watch Mariners games, Seahawks games, or Sounders games. They found that 36 like Mariners games, 59 like Seahawks games, 48 like Sounders games, 25 like Mariners games and Seahawks games, 17 like Mariners games and Sounders games, 29 like Seahawks games and Sounders games, and 11 like all three. How many of the people who took the poll only like Sounders games? How many people like Mariners games and Seahawks games but not Sounders games? How many people don't like any of the three types of games?
From 5 men and 4 women, how many committees can be selected consisting of: - 3 men and 2 women? - 5 people of which at least 3 are men?
A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An education Republican. How many ways are there to choose the members on the education group? group of 3 members is going to be formed, and this group must have at least 1
The university senate needs to select an eight-person committee from a pool of 20 faculty members consisting of 14 professors and 6 instructors. How many ways can they select a group of 8 faculty members to form the committee if they must choose exactly 5 professors?
7 men and 5 women have signed up for a research study. Researchers must choose 3 people for the control group. How many possible control groups contain at least one woman?
There are six men and seven women in a ballroom dancing class. If four men and four women are chosen and paired off, how many pairings are possible?
A committee of 4 people need to be selected from twenty numbers of an organization. How many different committees are possible?
There are 25 people in your club. Three of them will be chosen randomly to serve on acommittee. How many different committees are possible?
In a club with 10 male and 11 female members, how many 6-member committees can be selected that have not more than 2 men?