A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be appointed from a group of 20 people. In how many ways can this be done?

A group of 9 women and 6 men must select a 4-person committee. How many committees are possible if they consist of a. two women and two men b. any mixture of men and women c. majority of women

The company Sea Esta has 10 members on its board.  Haw many ways can a committee of 4 members be selected?  Note:  Order is not important

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.

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 school club has 25 members and needs to elect four officers: a president, vice-president, secretary, and treasurer. How many ways can this be done?

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?

From the 12 male and 10 female sales representatives for an insurance​ company, a team of 4 men and 4 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 8 be​ selected?

A club with 23 members is to select a committee of six persons. In how many ways can this be done?

How many ways can a committee of 4 be selected from a club with 12 members? A. 248 В. 24 C. 495 D. 11,880