Answered: A committee has 20 people. In how many…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many ways can a jury of 12 people be selected from the group? b. In how many ways can the jury of 5 men and 7 women be selected from the same group? c. In how many ways can the jury of at least 1 man be selected from the same group?
There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen? Assume that no member can hold both positions at the same time.
n how many different ways can we select a committee of a president, vice president , and a secretary from 15 applicants?
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.
A club has 11 members. Five are to be chosen to go as a group to a national meeting. If the club contains 7 men and 4 women, how many distinct groups of five contain at most two women?
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?
There are 25 people in a club. In how many ways can the club elect a president, a secretary and a treasurer, if no person can hold more than one office?
A city soccer league has 8 teams. In how many ways could the league assign first, second, and third-place trophies at the end of the season?
In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40 women?
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?
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A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be chosen if no one can occupy more than one position?