Answered: A committee of 6 people, with two of…

A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be appointed from a group of 20 people. In how many ways can this be done?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: In a subject exam, ten questions were set and six questions were to be answered. How many method can…

Q: A club with 29 members is to select a committee of five persons. In how many ways can this be done?

A: In a committee, we select the persons as a group. So the arrangement does not matter. So we will use…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

Q: P5. A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How…

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: In a school of 200 students, a math team, consisting of 15 students, is to be formed. Two team…

Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

Q: From the 10 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: In how many ways can the committee of 6 members be selected? How many different committees can be…

Q: departments have 10, 8 and 7 members, respectively. Each department is to

A: We have to find the total ways.

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: A class consists of 12 students (six boys and six girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: How many 7-member committees could you form from a set of 10 people?

A: Given: Total number of individuals=10Number of members to be taken in 1 committee=7

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

Q: A committee of students and teachers is being formed to study the issue of how much they all love…

A: Given: 16 teachers and 35 students Total = 51 members At least 2 teachers and at least 2 students…

Q: The math club needs to select a President, Vice President, Treasurer and Secretary from their 20…

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: A club has 35 members, 8 of whom are Civil Engineers. In how many ways can a committee of 4 be…

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 4 men and 3…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: A law firm has ten male and ten female lawyers. A committee of five, two male lawyers and three…

A: Given: A law firm has ten male and ten female lawyers. A committee of five lawyers, in which two…

Q: There are 6 men and 4 women in the Math Club. How many 5-person committees can be chosen if each…

Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys r!=r(r-1)(r-2)x...x3x2x1

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

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

Can you please explain the answer in details?

A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be appointed from a group of 20 people. In how many ways can this be done?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

In a class of 6 girls and 5 boys, how many seating arrangements can be done?
The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?
A town is forming a committee to investigate ways to improve public safety in the town. The committee will consist of four representatives from the seven-member town council, three members of a five-person citizens advisory board, and three of the 11 police officers on the force. How many ways can that committee be formed? That committee can be formed in ways.
There are 33 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?
The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher volunteers for the committee and 7 intermediate teacher volunteers. Question: How many ways can the principal form a committee of 5 if there must be AT LEAST 3 intermediate teachers on the committee?
A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if they consist of a. two women and two men b. any mixture of men and women c. majority of women
The company Sea Esta has 10 members on its board. Haw many ways can a committee of 4 members be selected? Note: Order is not important
A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 25 faculty members and they must select a chair, vice chair, secretary and 4 additional faculty members to be on the committee, in how many ways can the committee be formed?
A school club has 25 members and needs to elect four officers: a president, vice-president, secretary, and treasurer. How many ways can this be done?
The president of the college asked a fraternity to submit a list of 7 students to serve as guides at a school function. They have 19 students who are Available to help. In how many ways can the students be chosen?
From the 12 male and 10 female sales representatives for an insurance company, a team of 4 men and 4 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 8 be selected?