Three research departments have 8, 7, and 6 members, respectively. Each department is to select a delegate and an alternate to represent the department at aconference. In how many ways can this be done?

Answered: Image /qna-images/answer/38a5c97d-c8d7-4565-9e82-9f7a718ff73c.jpg

Answered: Three research departments have 8, 7,…

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

Similar questions

The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?
There are 11 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
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.
a city council with six members must elect a four-person executive committee consisting of a mayor, deputy mayor, secretary, and treasurer. How many executive committees are possible?
Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men?
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?
A company needs to create three new departments and there are seven managers competing to run these departments. In what ways can three new leaders be appointed?
A class of 40 students is to choose a set of classroom officers composed of the President, Vice-President, Secretary, and Treasurer. In how many ways can the classroom officers be chosen?
There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots. a.Determine the number of possible arrangements of the team
The “Waterside Road” band fan club has 18 members. They need to elect a president, a secretary, and a treasurer. How many different arrangements are possible?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Three research departments have 8, 7, and 6 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done?