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cinar

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?

  • one year ago
  • one year ago

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  1. cinar
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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?

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

    • one year ago
  3. cinar
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    @amistre64

    • one year ago
  4. cinar
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    @Zarkon , @TuringTest

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

    • one year ago
  6. Yahoo!
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    outcomes = arrangement...i think

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

    • one year ago
  8. cinar
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    yes @Yahoo!

    • one year ago
  9. Yahoo!
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    So..... npr

    • one year ago
  10. cinar
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    outcomes= how many ways we have to do that..

    • one year ago
  11. Yahoo!
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    @eliassaab

    • one year ago
  12. cinar
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    why we need to multiply by 25!

    • one year ago
  13. cinar
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    do you think color is important..

    • one year ago
  14. cinar
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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

    • one year ago
  15. Yahoo!
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    Diffrent

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

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

    • one year ago
  18. cinar
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    it makes sense..thanks..

    • one year ago
  19. cinar
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    no I don't (:

    • one year ago
  20. Yahoo!
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    @eliassaab is...very strong in permutation and combination

    • one year ago
  21. cinar
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    for b) is 800 important?

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

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

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

    • one year ago
  25. cinar
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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..

    • one year ago
  26. Yahoo!
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    this question really confuses..))

    • one year ago
  27. Yahoo!
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    Wat Did u understand frm the question

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

    • one year ago
  30. cinar
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    we are not arranging them we are choosing them, are we?

    • one year ago
  31. Yahoo!
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    the question asks for...possible outcome...

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

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

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

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

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

    • one year ago
  37. cinar
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    thanks..

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

    • one year ago
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