Answered: In how many ways can a committee of…

In how many ways can a committee of four be chosen from five married couple if the committee must consist of two men and two women?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method. We can select 5 women…

Q: From a group of 9 men and 11 women, a committee consisting of 2 men and 2 women is to be formed. How…

A: Men=9Women=11Choose for a committee 2 men and 2 women

Q: In how many ways could a committee be formed that included 3 Conservatives, 3 Liberals, 2 NDP and 1…

A: Number of conservatives = 14 Number of Liberals = 23 Number of NDP = 8 Number of independent members…

Q: In how many ways can a committee men be formed from 8 people?

A: GIvenNo.of people(n) = 8

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: There are 6 Republican, 5 Democrat, and 4 lndependent candidates. How many different ways can a…

Q: In an online game tournament, there are 7 male and 6 famale players who are qualified to join the…

A: Combination formula : The number of ways to select x subject from total n subject is given by, Cxn…

Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: In a club with 7 male and 11 female members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

Q: From 6 gentleman and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done,…

Q: In how many ways can a committee of three men and two women from eight men and six women

A: given data make committee of 3 men and 2 womens from 8 mens and 6 womens.

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given, Number of males = 8 Number of females = 11 The objective is to find how many different…

Q: 7 freshmen, 7 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee. In how many…

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people. We have to select 7 people from them. Since we are forming a committee,…

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

Q: A board of directors consisting of eight members is to be chosen from a pool of 30 candidates. The…

A: We have Total number of candidates are 30. There should be 8 members in a board of director. Option…

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: A group of nine women and four men must select a four-person committee. How many committees are…

A: Choose the 2 women 9C2 = 36 ways. Choose the 2 men 4C2 = 6 ways Tats 36*6 = 216 ways.

Q: From a group of 36 people, a jury of 12 is selected. In how many different ways can a jury of 12…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A committee must be formed with 3 teachers and 5 students. If there are 8 teachers to choose from,…

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: 5 freshmen, 6 sophomores, 5 juniors, and 6 seniors are eligible to be on a committee. In how many…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Number of ways of selecting 6 people of committee from the group of 20 people will be:

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

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

10.
In how many ways can a committee of four be chosen from five married couple if the
committee must consist of two men and two women?
Answer: There will be
committees.

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 Given

VIEW

Step 2 find number of way to form committee

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, algebra and related others by exploring similar questions and additional content below.

Similar questions

How many ways are there to choose a team of 11 players from a panel of 15 players?
a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice President and secretary in that order if the president must be a man and the other two officers must be a woman?
How many different committees can be formed from 9 teachers and 30 students if the committee consists of 3 teachers and 4 students? C In how many ways can the committee of 7 members be selected?
In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40 women?
A committee of ten people must choose a president, a vice president, and a secretary. In how many ways can this be done?
A club will be selecting a committee made up of 4 members. There are 12 eligible members to select from for the committee. In how many different ways can the committee be appointed?
A research team of 7 members must be formed from a group of 10 teachers consisting of 3 senior faculty, 4 junior faculty and 3 rookie faculty members. a. In how many ways can the selection be done if the team must include at least 1 senior faculty member? b. In how many ways can the selection be done if the team must include 2 seniors and at least 1 rookie faculty member?
A group of eight women and six men must select a four-person committee. How many committees are possible if a committee must consist of the following? (a) two women and two men(b) any mixture of men and women(c) a majority of women
A committee of six is to be made from 4 students and 8 teachers. In how many ways can this be done: i. If the committee contains exactly four teachers ii. If the committee contains at most four teachers
In how many ways cana committee consisting of 3 men and 2 women be chosen from seven men and five women?