Suppose we have 15 graphics cards and 4 servers. The graphics cards are all identical, but the servers are not and are numbered 1, 2, 3, 4. How many different ways can weallocate graphics cards to servers? Assume that a server can make use of any number of graphics cards, including 0.(Note: since servers are distinct but graphics cards are indistinguishable, moving a graphics card from server 1 to server 2 creates a new assignment, but swapping a graphicscard in a given server with another identical graphics card doesn't.)

Given that there are 15 graphics cards and 4 servers. All the graphic cards are identical, but the…

Answered: Suppose we have 15 graphics cards and 4…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.3: Matrix Algebra

Problem 56E

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The Phony TV company makes two different types of television sets, OLED and LED, which are assembled by two different assembly lines. When Line One operates it assembles 30 units of the OLED model and 50 units of the LED model per hour. Line Two assembles 40 units of the OLED model and 40 units of the LED model per hour. Let x be the number of hours that Line One operates and y the number of hours Line Two operates. Phony needs to produce at least 3000 units of the OLED model and 4000 units of the LED model to fill an order. (a) Write down the inequalities that describe the assembly constraints. (b) Graph the feasible region determined by these constraints.
Dr. Barton hypothesizes that if 1st grade students are assigned to practice sight word flashcards for 10 minutes every day for their first semester, they will end up reading more books in their second semester. She creates two groups of 25 students each and gives each group the same sight word flashcards. Group A is assigned to practice with the flashcards for 10 minutes every day for their first semester. Group B is not given this assignment. Each group is tasked with keeping a reading log during their second semester. At the end of 1st grade, Dr. Barton counts how many books each group has read. Group A read 68 books, and Group B read 92 books. The control group is: The independent variable is: The dependent variable is: This study shows that there is a positive correlation between 10 minutes of daily flashcard practice of sight words and the amount of books read. T/F This study is an example of descriptive research. T/F

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Suppose we have 15 graphics cards and 4 servers. The graphics cards are all identical, but the servers are not and are numbered 1, 2, 3, 4. How many different ways can we allocate graphics cards to servers? Assume that a server can make use of any number of graphics cards, including 0.