If i have 5000 people in total, how many group of 50 and 100 can i form?

Question

debbieg · Answer

Is this the whole question? I'm not sure what kind of answer you are looking for - an equation that models the combination of groups? A maximum number of each type of group? (that would just be division) There are lots of different combinations of 50 and 100 person groups that can be formed from 5000 people.  I have a feeling that this isn't the whole question....?

anonymous · Answer

use combinations like selection of 50 from 5000 will give you 5000c50... now you can solve for 100 persons too

debbieg · Answer

Ahh, yes, I didn't think of it in terms of combinatorics, but yes, if that's what the problem is getting at then in each case, you would have a combination. 5000 choose 50, and then 5000 choose 100.

$$\Large _{n}C_{r}=\dfrac{n!}{r!(n-r)!}$$