The academic computing committee at a college is in the process of evaluating different computersystems. The committee consists of four administrators, eight faculty, and five students. A five-personsubcommittee is to be formed. The chair and vice chair of the committee must be administrators; theremainder of the committee will consist of faculty and students. In how many ways can thissubcommittee be formed?The subcommittee can be formed inways.

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Answered: The academic computing committee at a…

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 Juice Company offers three kinds of smoothies: Midnight Mango, Tropical Torrent, and Pineapple Power. Each smoothie contains the amounts of juices shown in the table. On a particular day the Juice Company used 820 oz of mango juice, 980 oz of pineapple juice, and 580 oz of orange juice. How many smoothies of each kind were sold that day? Smoothie Midnight Mango Tropical Torrent Pineapple Power Midnight Mango Tropical Torrent Pineapple Power Need Help? Submit Answer Read It Mango juice (oz) 8 Watch It 6 smoothies smoothies smoothies 2 Pineapple juice (oz) 3 5 8 Orange juice (oz) 3 3 4
A cell phone company offers 19 different voice packages and 19 different data packages. Of those, 6 packages include both voice and data. How many ways are there to choose either voice or data, but not both?
You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side that is heads and a side that is tails. You want to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable stacks of the 8 coins.
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 House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An education Republican. How many ways are there to choose the members on the education group? group of 3 members is going to be formed, and this group must have at least 1
A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 13 kilograms. To test this claim, 51 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 89.8 kilograms with a standard deviation of 5.95 kilograms, while type B thread had an average tensile strength of 79.8 kilograms with a standard deviation of 5.37 kilograms. Test the manufacturer's claim using a 0.05 level of significance. Do not assume that the population variances are equal. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Let type A thread correspond to population 1 and let type B thread correspond to population 2. Identify the null and alternative hypotheses. Choose the correct answer below. B. Ho: H1 - H2 = 13 Ho: H1 - H2 > 13 H1: H1 - H2 = 13 A. Ho: H1 - H2 = 13 %3D H1: H1…
Part 4: Suppose that 53 of the 55 Computer Science students of San Sebastian College, Manila are taking at least one of the mathematics subjects Algebra, Trigonometry and Calculus. See the figure below for more details: 24 taking Algebra, 26 taking Trigonometry, 20 taking Calculus, 5 taking Algebra and Trigonometry, 7 taking Algebra and Calculus, 8 taking Trigonometry and Calculus. a. Find the number of students who are taking all three mäthematics subjects. b. Fill in the correct number of students in each of the eight regions of the Venn diagram. c. Determine the number of students who are not taking any of the three mathematics subjects? d. How many students are taking Algebra as their only mathematics subject? e. How many students were taking Calculus and Trigonometry but not Algebra?
A class of 15 students needs to elect a class president, vice president, treasurer, and secretary. How many ways can this be done if each student can serve at most one position?

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