The board of an Internet startup company has fifteen members. If one person is to be in charge of researchnbspandanother in charge of accounting, in how many ways can these two positions be filled?

Given,Total members = 15Here one person is to be in charge of researchnbsp and another in charge of…

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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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 researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
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 fifteen members. If one person is to be in charge of researchnbspand another in charge of accounting, in how many ways can these two positions be filled?