anonymous
  • anonymous
10 distinct computational tasks are to be assigned to 3 processors. The first processor should receive 5 tasks, the second processor should receive 3 tasks, and the third processor should receive 2 tasks. The total number of different assignments that obey the given constraint is....
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
is it 2520?, (10 choose 5) times (5choose3) times (2choose2)
2bornot2b
  • 2bornot2b
\[3!\times (^{10}C_5\times ^5C_3\times ^2C_2)\]
anonymous
  • anonymous
why multiply by 3 factorial?

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2bornot2b
  • 2bornot2b
I am considering that you are allowed to decide which machine you call 1 and which 2 and which 3
2bornot2b
  • 2bornot2b
Is it OK?
anonymous
  • anonymous
i understand what your saying but does the question mean that? i mean your answer would be appropriate if its just a division of tasks among 3 processors
2bornot2b
  • 2bornot2b
The question doesn't state that out clearly. However, you know which answer is for which question..
anonymous
  • anonymous
k this is the follow up question
anonymous
  • anonymous
10 distinct computational tasks are to be assigned to 3 processors. The total number of different assignments is...
2bornot2b
  • 2bornot2b
\[3^{10}\]
anonymous
  • anonymous
ok
2bornot2b
  • 2bornot2b
Any more questions? Or I am out of the way..
mathmate
  • mathmate
3^10 assumes the processors are distinct. (not explicitly specified in the question). If the processors are not distinct (such as same model, same brand), then it is 3^10/3!.
anonymous
  • anonymous
that works out to be 9841.5 possibilities

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