Example 44.them are Lawyers, three of them are Chartered Accountants and one is both a Chartered Ac-countant and a Lawyer. In how many ways can the committee be selected if it must have atleasta Chartered Accountant and a lawyer?A committee of 3 experts is to be selected out of a panel of 7 persons; three of

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Answered: Example 44. A committee of 3 experts is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.
Los Angeles Dodgers. From the official website of the 2013 Los Angeles Dodgers major league baseball team, we found that there were ve active players on roster available to play outfield. Assuming that these five players could play any outfield position, how many possible assignments could manager Don Mattingly have made for the three outfield positions?
There are 53 students. Of these, 25 are taking Business, 26 are taking English, and 25 are taking Math. 14 are taking both Business and Math, 13 are taking Math and English, and 17 are taking Business and English. 12 students are taking none of these three classes. How many students are taking Business but are not taking Math?
a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice President and secretary in that order if the president must be a man and the other two officers must be a woman?
You are on trial for financial fraud, and there are 8 prospective judges, including Donald and Hillary, both of whom you have bribed. A three judge panel will be selected from the 8 to decide the verdict. How many such possible panels include Donald or Hillary?
In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40 women?
3. A company checks its managers and find that 70 of them have an undergraduate degree in Business, 30 have an undergraduate degree in business and a Masters in Business, and 45 have only A Masters in Business. 20 others have neither degree. How many managers are in this company?
5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,
There are 22 members of a basketball team. (1) The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel? (2) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. How many ways are there for her to select the starting line-up? (3) From the 8 players who will travel, the coach must select her starting line-up. She will select a player for each of the five positions: center, right forward, left forward, right guard, left guard. However, there are only 3 of the 8 players who can play center. Otherwise, there are no restrictions. How many ways are there for her to select the starting line-up?

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