anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
(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?
anonymous
  • anonymous
for a) I found C(25,8)*C(17,7)*C(10,6)*C(4,4)
anonymous
  • anonymous
@amistre64

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anonymous
  • anonymous
@Zarkon , @TuringTest
anonymous
  • anonymous
for b) I found \[\frac{70!}{46!*24!}\]
anonymous
  • anonymous
outcomes = arrangement...i think
anonymous
  • anonymous
for c) my result is \[\frac{45!}{25!*20!}\]
anonymous
  • anonymous
yes @Yahoo!
anonymous
  • anonymous
So..... npr
anonymous
  • anonymous
outcomes= how many ways we have to do that..
anonymous
  • anonymous
@eliassaab
anonymous
  • anonymous
why we need to multiply by 25!
anonymous
  • anonymous
do you think color is important..
anonymous
  • anonymous
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
anonymous
  • anonymous
Diffrent
anonymous
  • anonymous
so we need to multiply by 25! then.. because we have different color pens..
anonymous
  • anonymous
oh repeated permutation, so in our case 25!/(8!7!6!4!) right..
anonymous
  • anonymous
it makes sense..thanks..
anonymous
  • anonymous
no I don't (:
anonymous
  • anonymous
@eliassaab is...very strong in permutation and combination
anonymous
  • anonymous
for b) is 800 important?
anonymous
  • anonymous
but there is only one way color is the same..
anonymous
  • anonymous
every members can take only one pen, one member cannot take 0 or 2,3,.....25 pens
anonymous
  • anonymous
the question is whether one can choose only only 1 red from the 7
anonymous
  • anonymous
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..
anonymous
  • anonymous
this question really confuses..))
anonymous
  • anonymous
Wat Did u understand frm the question
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
1st and 2nd option are the same or not..
anonymous
  • anonymous
we are not arranging them we are choosing them, are we?
anonymous
  • anonymous
the question asks for...possible outcome...
anonymous
  • anonymous
Thanks for your help, I gotta go to library get a book about this topic.. see you later (:
anonymous
  • anonymous
I'm going to Office Depot to buy my own markers!
anonymous
  • anonymous
but thees are free, choose one :P
anonymous
  • anonymous
@eliassaab can you look at my question, I am stuck
anonymous
  • anonymous
a) \[ \frac{25!}{7! 4! 6! 8!}=4417238826000 \] Which the same as you got/
anonymous
  • anonymous
thanks..
anonymous
  • anonymous
@satellite73 can you look at my question, if you are not busy

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