A committee consists of 4 men and 5 women. Three members are to be selected at random to form a committee. For a total of 5 women, what is the number of possible committees with 3 men? For a total of 9 people, what is the number of possible committees with 3 men?

A committee consists of 4 men and 5 women. Three members are to be selected at random to form a committee. For a total of 5 women, what is the number of possible committees with 3 men? For a total of 9 people, what is the number of possible committees with 3 men?

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: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: The University of Montana ski team has eleven entrants in a men's downhill ski event. The coach…

Q: There are 32 teams attending the World Football Cup in Qatar. How many ways the championship team,…

Q: Find P(A), given that P(A) 0.493.

A: Given, P A=0.493

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: en and seven women in a ballroom dancing class. If four men and four women are chosen and paired…

A: men = 6 women = 7 Total = 6+7 = 13 The number of ways that 4 men and 4 women are selected are:…

Q: A bag contains 2 red marbles, 5 blue marbles, and 6 green marbles. A handful of 4 marbles is…

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

Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

Q: A grocery store has 5 checkout counters and 8 clerks. How many different ways can the 8 clerks be…

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

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: A company has 42 employees. How many different ways can 7 people be chosen to serve on a committee…

A: We can choose the 7 persons in 42C7 ways Where 7 people are chosen then there are (42-7)=35 people…

Q: The group of qualified candidates for five positions is made up of eight women and six men. How many…

Q: 10 people is choosing a chairperson and vice chairperson

A: Given that A group of 10 people = (n)=10 We have to select two people from total 10 people.…

Q: There are 12 applicants for 4 scholarships for 4 different amounts: $100,000 and $80,000 and $60,000…

A: Total applicants = 12 For 4 scholarships for 4 different amounts How many different groups of…

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: A retail store is placing 7 mannequins on display side by side. Two of the male mannequins are…

A: There is total 7 mannequins.

Q: How many different committees can be formed from 12 teachers and 39 students if the committee…

A: No. of teachers=12no. of students=39committee should consist of 3 teaches and 2 students

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given, The president has a team of 20 trusted bodyguards We have to find the number of ways of…

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

Q: After a service call by a plumber, the company follows up with a survey to rate the service and…

A: For yes/ no type questions:

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Question

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

For a total of 5 women, what is the number of possible committees with 3 men?
For a total of 9 people, what is the number of possible committees with 3 men?

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

Similar questions

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair were there?
From a league of 20 players, we want to choose 11 players for a footballmatch. A goalkeeper, a captain and 9 players. In how many ways we can arrange theteam?
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 group of 16 people is choosing a chairperson and Vice- chairperson. They put all 16 people's names into a hat. The first name drawn become chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there?
Eight students entered the testing room that had 20 chairs evenly arranged on each side. If two of the eight students insist on sitting on the right side, how many seating arrangements are possible?
A group of 16 people is choosing a chairperson and vice chairperson. they put all 16 people's names into a hat. the first name drawn becomes chair. the second name John becomes a vice-chair. how many possible combinations of chair and vice-chair are there?
A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and 6 women be chosen?
There are 7 women and 8 men in a department. How many ways can a committee of 4 people be selected?
There are 5 women and 8 men in a department. How many ways can this committee be selected if there must be 2 men and 2 women on the committee?
ANSWER PART B ONLY
The math club wants to choose a committee to plan the back to school party. How many 5 person committees can be formed from the set of 20 members?
There are 11 girls and 11 boys in a class. A committee of seven is selected for a project. How many possible committees are there containing four girls?