The board of an Internet startup company has thirteen members. If one person is to be in charge of accounting and another in charge of human resources, in how many ways can these two positions be filled?How many ways can the two positions be filled?

To find: How many ways can the two positions filled.

Answered: The board of an Internet startup…

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...

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A regional photo lab produces two different photo packages. The number of photos of each type in each package and how many of each type is available is summarized in the following table. Wallet Size 5 x 7 8 x 10 Standard Package 11 1 Plus Package 14 7 Total Available 1694 1470 678 The corporate office requires the lab sell at least 26 standard packages and 8 plus packages a week. If the cost of producing one standard package is $14 and one plus package is $19, how many of each type of package must the photo lab sell each week in order to minimize their costs, but still meet corporate requirements? What is the minimum cost? The minimum cost is $ when standard packages and plus packages are sold.
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 4,900 students who would like to take a course, and there are 60 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? (Assume each section has the maximum number of students allowed.) Ancient History ______sections Medieval History____ sections Modern History___…
The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 44 sections total, there are 4,700 students who would like to take a course, and there are 57 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History sections…
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 46 sections total, there are 5,200 students who would like to take a course, and there are 62 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor? HINT [See Example 2.] (Assume each section has the maximum number of students allowed.) Ancient History Medieval History Modern History
The Enormous State University History Department offers three courses-Ancient, Medieval, and Modern History-and the department chairperson is trying to decide how many sections of each to offer this semester. They may offer up to 18 sections total, up to 2,000 students would like to take a course, and there are 24 professors to teach them (no student will take more than one history course, and no professor will teach more than one section). Sections of Ancient History have 100 students each, sections of Medieval History have 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. Ancient History nets the university $3,000 per section, Medieval nets $6,000, and Modern History nets $9,000 per section. How many sections of each course should the department offer in order to generate the largest profit? Ancient History section(s) Medieval…
A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?
The enormous state university history department offers three courses-ancient,medieval, and modern history-and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 46 sections total, there are 5,100 students who would like to take a course, and there are 62 professors to teach them. Sections of ancient history have 100 students each, sections of medieval history hold 50 students each, and sections of modern history have 200 students each. Modern history sections are taught by a team of two professors, while ancient and medieval history need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor?

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The board of an Internet startup company has thirteen members. If one person is to be in charge of accounting and another in charge of human resources, in how many ways can these two positions be filled? How many ways can the two positions be filled?