A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being chosen from this class to plan a school event. Determine the number of 5 student committees that can be formed if the committee must consist of 3 girls and 2 boys

A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being chosen from this class to plan a school event. Determine the number of 5 student committees that can be formed if the committee must consist of 3 girls and 2 boys

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 38RE: A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can...

See similar textbooks

Related questions

Q: In a factory there are (7) engineers and (5) accountants. A committee of (3) engineers and (2)…

A: Given Information: There are 7 Engineers and 5 Accountants in a factory. The Committee should have 3…

Q: In the recent PIIE webinar attended by 100 people, there are 30 Filipino women and 23 Filipino men.…

Q: There are 6 men and 7 women in a ballroom dancing classes.If 4 men and 4 women are choosen and…

Q: There are 8 boys and 7 girls in the debate team at Central High School. In how many ways can a…

A: We have 8 boys and 7 girls in the debate team. We need to make a team consisting of 4 members, such…

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that She will select from 8 workshops about music and 8 about poetry.

Q: A committee of 6 people is chosen from 7 women and 7 men. How many different committees are possible…

A: Since it is a group of persons so the arrangement does not matter. We will have to use the…

Q: There are 20 male and 15 female students in a class. In how many ways can you choose a committee of…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

A: It is given that 12 teams are in a basketball tournament and each team must play every other team in…

Q: A boy owns 7 pairs of pants, 6 shirts, 2 ties, and 2 jackets. How many different outfits can he wear…

A: We use rule of multiplication, to find the solution

Q: Explain how you would find out how many committees of 4 boys and 2 girls can be found from a group…

Q: The Rosedale Thunders hockey team has 6 players who can play goalie and 8 (different) players who…

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males. The number of…

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3…

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: Given information is : A company has 12 male and 11 female employees. What to find..... company…

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given, There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: At a university, a dean is going to select 7 volunteers to serve on a committee. There are 7…

A: Given data:The dean is going to select 7 volunteers to serve on a comitee.There are 7 volunteers…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: In a group of 9 people, there are 4 females and 5 males. Determine the number of 4-member committees…

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

Q: An organization had 14 employees. There are 9 female employees and 5 male employees. How many teams…

Q: A boy owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets. How many different outfits can he wear…

A: Given a boys owns 7 pairs of pants, 6 shirts, 4 ties, and 2 jackets Boys can wear one of each items…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 32…

A: choose 6 students from class of 32 students for a field trip. no. of ways to choose students = ?

Q: A pack consists of 20 pieces of candy. In a thousand packs, 40 contains less than 20 pieces. When…

A: Solution

Q: The number of ways a team of 2 players can be chosen out of 6 players is

A: Our Aim is to tell the number of ways a team of 2 players can be chosenout of 6 players is ____

Q: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the…

A: Given: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. To Find:…

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 29…

Q: A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

Q: You just got a free ticket for a boat ride, and you can bring along 3 friends! Unfortunately, you…

A: Given : Total number of friends = 5 Number of friends can bring = 3

Q: A school intramural committee consists of 2 freshmen, 3 sophomores, 4 juniors and 5 seniors. 7…

Q: The library is to be given 3 books as a gift. The books will be selected from a list of 17 titles.…

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

Q: Out of forty students, 14 are listening music and 29 are watching k-drama as their hobby. If 5…

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…

Q: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

Q: A committee of 4 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

Q: A committee of 6 men and 4 women is to be chosen from a group of 14 men and 11 women. Determine the…

A: 2) Solution: Given information: 14 Men and 11 women A committee of 6 men and 4 women is to be…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination: It is nothing but the selection of objects where the order of selection is not…

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: The number of ways a team of 2 players can be chosen out of 6 players is ______________

A: given a team of 2 players can be chosen out of 6 players and we have to find the numbers of ways…

Q: A committee of 6 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Given that, a committee of 6 people is chosen from 8 women and 8 men. This is a combination problem…

Q: there are 19 members on a board of directors. If they must form of a subcommittee of 4 members ,how…

A: Given that the total number of members on a board of directors is 19. They must form a subcommittee…

Question

100%

A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being
chosen from this class to plan a school event. Determine the number of 5 student committees that
can be formed if

the committee must consist of 3 girls and 2 boys

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?
In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?
Hector wants to place billboard advertisements throughout the county for his new business. How many ways can Hector choose 15 neighborhoods to advertise in if there are 30 neighborhoods in the county?
A community baseball stadium has 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, and so on. There are 56 rows in all. What is the seating capacity of the stadium?
Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
Susan bought 20 plants to arrange along the border of her garden. How many distinct arrangements can she make if the plants are comprised of 6 tulips, 6 roses, and 8 daisies?
A coffee shop has 7 Guatemalan roasts, 4 Cuban roasts, and 10 Costa Rican roasts. How many ways can the shop choose 2 Guatemalan, 2 Cuban, and 3 Costa Rican roasts for a coffee tasting event?
A motorcycle shop has 10 choppers, 6 bobbers, and 5 café racers—different types of vintage motorcycles. How many ways can the shop choose 3 choppers, 5 bobbers, and 2 café racers for a weekend showcase?