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

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

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...

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(Note: since servers are distinct but graphics cards are indistinguishable, moving a graphicscard from server 1 to server 2 creates a new assignment, but swapping a graphics card in agiven server with another identical graphics card doesn't.)

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