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cinar

  • 2 years ago

I have some combination questions: (a) The Mathematics departmental office has the following stock of dry-erase markers: 7 Red, 4 Navy blue, 6 Green, 8 Black. They are to be distributed, 1 apiece, to the 25 members of the department. How many outcomes are possible? (b) The Chemistry departmental office has 800 black dry-erase markers. The 25 members of the department may take as many as they like. If 46 markers are taken the first day, how many different distributions to the faculty members are possible?

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  1. cinar
    • 2 years ago
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    (c) Repeat (b) with the added stipulation that each faculty member took at least one marker. (d) The Physics departmental office has the following stock of dry-erase markers: 400 Red, 200 Green, 200 Black. The 25 members of the department may take as many as they like. If 46 Red, 3 Green, and 27 Black markers are taken the first day, how many different distributions to the faculty members are possible?

  2. cinar
    • 2 years ago
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    for a) I found C(25,8)*C(17,7)*C(10,6)*C(4,4)

  3. cinar
    • 2 years ago
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    @amistre64

  4. cinar
    • 2 years ago
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    @Zarkon , @TuringTest

  5. cinar
    • 2 years ago
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    for b) I found \[\frac{70!}{46!*24!}\]

  6. Yahoo!
    • 2 years ago
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    outcomes = arrangement...i think

  7. cinar
    • 2 years ago
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    for c) my result is \[\frac{45!}{25!*20!}\]

  8. cinar
    • 2 years ago
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    yes @Yahoo!

  9. Yahoo!
    • 2 years ago
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    So..... npr

  10. cinar
    • 2 years ago
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    outcomes= how many ways we have to do that..

  11. Yahoo!
    • 2 years ago
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    @eliassaab

  12. cinar
    • 2 years ago
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    why we need to multiply by 25!

  13. cinar
    • 2 years ago
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    do you think color is important..

  14. cinar
    • 2 years ago
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    let say we have 2 red 3 blue 4 green pen and we wanna give them 9 children ( 1 each of them) and lets say we have 9 black pen and we wanna give them 9 children (( 1 each of them) are thees the same situation or different

  15. Yahoo!
    • 2 years ago
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    Diffrent

  16. cinar
    • 2 years ago
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    so we need to multiply by 25! then.. because we have different color pens..

  17. cinar
    • 2 years ago
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    oh repeated permutation, so in our case 25!/(8!7!6!4!) right..

  18. cinar
    • 2 years ago
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    it makes sense..thanks..

  19. cinar
    • 2 years ago
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    no I don't (:

  20. Yahoo!
    • 2 years ago
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    @eliassaab is...very strong in permutation and combination

  21. cinar
    • 2 years ago
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    for b) is 800 important?

  22. cinar
    • 2 years ago
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    but there is only one way color is the same..

  23. cinar
    • 2 years ago
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    every members can take only one pen, one member cannot take 0 or 2,3,.....25 pens

  24. Yahoo!
    • 2 years ago
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    the question is whether one can choose only only 1 red from the 7

  25. cinar
    • 2 years ago
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    oh you are asking they are in the same box and mixed or they have their own box ( each color) if this is your question I thought first condition..

  26. Yahoo!
    • 2 years ago
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    this question really confuses..))

  27. Yahoo!
    • 2 years ago
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    Wat Did u understand frm the question

  28. cinar
    • 2 years ago
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  29. cinar
    • 2 years ago
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    1st and 2nd option are the same or not..

  30. cinar
    • 2 years ago
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    we are not arranging them we are choosing them, are we?

  31. Yahoo!
    • 2 years ago
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    the question asks for...possible outcome...

  32. cinar
    • 2 years ago
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    Thanks for your help, I gotta go to library get a book about this topic.. see you later (:

  33. CliffSedge
    • 2 years ago
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    I'm going to Office Depot to buy my own markers!

  34. cinar
    • 2 years ago
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    but thees are free, choose one :P

  35. cinar
    • 2 years ago
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    @eliassaab can you look at my question, I am stuck

  36. eliassaab
    • 2 years ago
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    a) \[ \frac{25!}{7! 4! 6! 8!}=4417238826000 \] Which the same as you got/

  37. cinar
    • 2 years ago
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    thanks..

  38. cinar
    • 2 years ago
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    @satellite73 can you look at my question, if you are not busy

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