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?

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 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 board of directors of a corporation comprises 9 members. An executive board, formed by 4…

A: number of ways select of r objects from n objects =ncr =n!/[(n-r)! r!]

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the formula nCr = n!/(n-r)! * r!

Q: There are 13 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: The objective of this question is to find out the number of different subcommittees that can be…

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: There are 18 males and 14 females in a classroom. A president, secretary and vice- president must be…

A: There are 18 males and 14 females in a classroom. A president, secretary and vice president must be…

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

A: We have to find the total ways.

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: 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 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

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: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

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

Q: there are 6 different position in a food chain company to be filled from 12 aspiring applicants. The…

A: Total number of positions/vacancies = 6Total number of applicants = 12Ways of filling 1st position…

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

Q: How many committees of four can be formed from 16 Republicans and 20 Democrats if two members of…

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

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…

Q: 20 people have volunteered for a 5-person neighborhood advocacy committee. 13 of them are homeowners…

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: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

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…

Question

100%

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 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

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

Similar questions

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?
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.
At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people from town C. The council will consist of a chairperson, an assistant chairperson, and a secretary. Note, it is possible for the same person to be assistant chairperson and secretary at the same time. How many ways can they elect a council?
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?
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?
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?
1. You just won 4 tickets to a concert, but you have 8 friends who would like to go with you. How many different ways can you give out the extra 3 tickets to your friends? 2. The booster club has 10 people running for the offices of president, vice-president, secretary and treasurer. How many ways can the offices be filled?
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?
Faculty at a certain university need to create a committee to evaluate the general studies curriculum offered on campus. If there are 34 faculty members and they must select a chair, vice chair, secretary and 5 additional faculty members to be on the committee, in how many ways can the committee be formed?
There are 7 women and 8 men in a department. How many ways can a committee of 4 people be selected?
there are 18 people from the mathematics department and 325 people from the computer science department in a collegea. how many ways are there to get two representatives?so that one person is from the mathematics department and the other is from the computer science department?b. how many ways are there to get one elected representative, from a combination of the two majors?