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cinar Group Title

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?

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  3. cinar Group Title
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    @amistre64

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

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

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

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

    • 2 years ago
  8. cinar Group Title
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    yes @Yahoo!

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

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

    • 2 years ago
  11. Yahoo! Group Title
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    @eliassaab

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

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

    • 2 years ago
  14. cinar Group Title
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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

    • 2 years ago
  15. Yahoo! Group Title
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    Diffrent

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

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

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

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

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

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

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

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

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

    • 2 years ago
  25. cinar Group Title
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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..

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

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

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

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

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

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

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

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

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

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

    • 2 years ago
  37. cinar Group Title
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    thanks..

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

    • 2 years ago
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