## 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? one year ago one year ago

1. cinar Group Title

(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 Group Title

for a) I found C(25,8)*C(17,7)*C(10,6)*C(4,4)

3. cinar Group Title

@amistre64

4. cinar Group Title

@Zarkon , @TuringTest

5. cinar Group Title

for b) I found $\frac{70!}{46!*24!}$

6. Yahoo! Group Title

outcomes = arrangement...i think

7. cinar Group Title

for c) my result is $\frac{45!}{25!*20!}$

8. cinar Group Title

yes @Yahoo!

9. Yahoo! Group Title

So..... npr

10. cinar Group Title

outcomes= how many ways we have to do that..

11. Yahoo! Group Title

@eliassaab

12. cinar Group Title

why we need to multiply by 25!

13. cinar Group Title

do you think color is important..

14. cinar Group Title

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! Group Title

Diffrent

16. cinar Group Title

so we need to multiply by 25! then.. because we have different color pens..

17. cinar Group Title

oh repeated permutation, so in our case 25!/(8!7!6!4!) right..

18. cinar Group Title

it makes sense..thanks..

19. cinar Group Title

no I don't (:

20. Yahoo! Group Title

@eliassaab is...very strong in permutation and combination

21. cinar Group Title

for b) is 800 important?

22. cinar Group Title

but there is only one way color is the same..

23. cinar Group Title

every members can take only one pen, one member cannot take 0 or 2,3,.....25 pens

24. Yahoo! Group Title

the question is whether one can choose only only 1 red from the 7

25. cinar Group Title

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! Group Title

this question really confuses..))

27. Yahoo! Group Title

Wat Did u understand frm the question

28. cinar Group Title

29. cinar Group Title

1st and 2nd option are the same or not..

30. cinar Group Title

we are not arranging them we are choosing them, are we?

31. Yahoo! Group Title

32. cinar Group Title

33. CliffSedge Group Title

I'm going to Office Depot to buy my own markers!

34. cinar Group Title

but thees are free, choose one :P

35. cinar Group Title

@eliassaab can you look at my question, I am stuck

36. eliassaab Group Title

a) $\frac{25!}{7! 4! 6! 8!}=4417238826000$ Which the same as you got/

37. cinar Group Title

thanks..

38. cinar Group Title

@satellite73 can you look at my question, if you are not busy