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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.

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.

Algebra and Trigonometry (MindTap Course List)
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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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. (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 graphics card in a given server with another identical graphics card doesn't.)
Transcribed Image Text: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. (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 graphics card in a given server with another identical graphics card doesn't.)
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