3. A Class contains 21 students, with 12 men and 9 women. Find the number of ways to (a) Select a 5 member committee from the students. (b) Select a 5 member committee with 2 men and 3 women. (c) Elect a President, Vice President, Treasurer, and Secretary.

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: 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: 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: 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: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

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

A: Total members=28

Q: 1. Determine the number of different 3-people or 4-people committees that can be formed from the 8…

A:

Q: A manufacturing unit has to appoint a committee consisting of 4 people. There are 9 eligible…

A: Given , A manufacturing unit has to appoint a committee consisting of 4 people. ie, There are 9…

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: Your class of 15 students has assigned a group project. You must break up into three groups of five…

A: Formula:   If there are n objects. If there are k1 of type 1, k2 of type 2 and so on km of type m…

Q: A boyscout troop has 10 members. a. How many ways can the Troup Leader select 3 members to lead a…

A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

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

A:

Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: A corporation must appoint a president, chief executive officer (CEO), chief operating officer…

A: A corporation must appoint a president, chief executive officer (CEO), chief operating officer…

Q: How many ways are there to select the 5-person committee such that exactly 3 local business owners…

A: It is given that Total persons = 20 Number of homeowners = 11 Number of local businesses owners = 20…

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

A:

Q: There are 15 members on the board of directors for the Hospital. If they must  elect a chairperson,…

A: Determine the number of ways to select a chairperson, a vice-chairperson, a secretary, and a…

Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

A:

Q: There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As…

A: There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team.…

Q: 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: How many different committees can be formed from 9 teachers and 30 students if the committee…

A: Given there are 9 teachers and 30 students.  We have to find that how many different committees can…