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anonymous

  • 5 years ago

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....

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  1. anonymous
    • 5 years ago
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    is it 2520?, (10 choose 5) times (5choose3) times (2choose2)

  2. 2bornot2b
    • 5 years ago
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    \[3!\times (^{10}C_5\times ^5C_3\times ^2C_2)\]

  3. anonymous
    • 5 years ago
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    why multiply by 3 factorial?

  4. 2bornot2b
    • 5 years ago
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    I am considering that you are allowed to decide which machine you call 1 and which 2 and which 3

  5. 2bornot2b
    • 5 years ago
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    Is it OK?

  6. anonymous
    • 5 years ago
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    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

  7. 2bornot2b
    • 5 years ago
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    The question doesn't state that out clearly. However, you know which answer is for which question..

  8. anonymous
    • 5 years ago
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    k this is the follow up question

  9. anonymous
    • 5 years ago
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    10 distinct computational tasks are to be assigned to 3 processors. The total number of different assignments is...

  10. 2bornot2b
    • 5 years ago
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    \[3^{10}\]

  11. anonymous
    • 5 years ago
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    ok

  12. 2bornot2b
    • 5 years ago
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    Any more questions? Or I am out of the way..

  13. mathmate
    • 5 years ago
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    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!.

  14. anonymous
    • 5 years ago
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    that works out to be 9841.5 possibilities

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