A public health unit's "Board of Health' consists of 8 citizen representatives and 9 elected officials. We want to set up a special committee from the board members, consisting of 3 citizens and 4 elected officials. How many different ways can the board members by chosen for this

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?

A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An education Republican. How many ways are there to choose the members on the education group? group of 3 members is going to be formed, and this group must have at least 1

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?

The university senate needs to select an eight-person committee from a pool of 20 faculty members consisting of 14 professors and 6 instructors. How many ways can they select a group of 8 faculty members to form the committee if they must choose exactly 5 professors?

An advisory committee is being formed for a new project at a company. The committee has 6 identical positions to be filled. The committee is to consist of 2 people chosen from the Research and Development Department, which has a total of 12 employees, and 4 people from the Marketing Department, which has a total of 20 employees. How many total possible advisory committees could be formed from these choices?

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?

A public health inspector wishes to inspect four restaurants by the end of the week. She has a list consisting of 26 "high- risk" premises, 68 “medium-risk" premises, and 95 "low-risk" premises that require inspections. How many different ways could a selection of the four restaurants be chosen that includes two “high-risk" and two “medium-risk" premises?

How many different committees can be formed from 6 teachers and 46 students if In how many ways can the committee of 5 members be selected? the committee consists of 3 teachers and 2 students?