A set of 39 tasks are assigned to a set of 13 processors. The processors are all distinct. Each task is assigned to exactly one processor. A processor can be assigned more than one task. (a) How many ways are there to assign the tasks if the tasks are all different and there are no restrictions on the numbe of tasks that can go to any particular processor? 39^13 Preview (b) How many ways are there to assign the tasks if the tasks are all identical and there are no restrictions on the numbe of tasks that can go to any particular processor? Preview (c) How many ways are there to assign the tasks if the tasks are all different and each processor must receive the same

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter4: Processor Technology And Architecture
Section: Chapter Questions
Problem 2PE: If a microprocessor has a cycle time of 0.5 nanoseconds, what’s the processor clock rate? If the...
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A set of 39 tasks are assigned to a set of 13 processors. The processors are all distinct. Each task is assigned to exactly
one processor. A processor can be assigned more than one task.
(a) How many ways are there to assign the tasks if the tasks are all different and there are no restrictions on the number
of tasks that can go to any particular processor?
39^13
Preview
(b) How many ways are there to assign the tasks if the tasks are all identical and there are no restrictions on the number
of tasks that can go to any particular processor?
Preview
(c) How many ways are there to assign the tasks if the tasks are all different and each processor must receive the same
number of tasks?
Preview
(d) How many ways are there to assign the tasks if the tasks are all identical and each processor must receive the same
number of tasks?
Preview
Transcribed Image Text:A set of 39 tasks are assigned to a set of 13 processors. The processors are all distinct. Each task is assigned to exactly one processor. A processor can be assigned more than one task. (a) How many ways are there to assign the tasks if the tasks are all different and there are no restrictions on the number of tasks that can go to any particular processor? 39^13 Preview (b) How many ways are there to assign the tasks if the tasks are all identical and there are no restrictions on the number of tasks that can go to any particular processor? Preview (c) How many ways are there to assign the tasks if the tasks are all different and each processor must receive the same number of tasks? Preview (d) How many ways are there to assign the tasks if the tasks are all identical and each processor must receive the same number of tasks? Preview
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