fom
Posts:
1,969
Registered:
12/4/12


Re: how many ways to pick two teams
Posted:
Feb 5, 2013 10:02 AM


On 2/5/2013 3:02 AM, quasi wrote: > fom wrote: >> William Elliot wrote: >>> G Patel wrote: >>> >>>> Is it 20 choose 10 or do I have to divide by 2? >>>> >>> What's it? >> >> What do you mean by picking teams? Combinations are without >> regard to order, >> >> captains will try to make the best pick at each opportunity >> to choose... >> >> 20*18*16*14*12*10*8*6*4*2 >> >> 19*17*15*13*11*9*7*5*3*1 > > In the context of this problem, the only interest is in > determining the number of possible results for the two teams, > not in the mechanism by which the selection was performed. > > In particular, the order of selecting people doesn't matter. > > The intent of the problem is to find the number of possible > partitions of a 20element subset into two 10element subsets.
The intent of the question was to ask how to solve a combination. The stated problem was how to choose teams. Any kid who grew up playing sandlot baseball knows the rules that formed the basis of my remark. And, order does matter. The kids who are picked last are painfully aware of their status.
While I agree with you concerning the original poster's interest (and sadly had not thought that far before my own post), it may well be that they would have been helped by my observation under slightly different circumstances. That is, they might have had a need to at least consider the problem differently.
Thank you, though. I am so out of practice that I find the assistance you give to others quite interesting, even if it is sometimes trivial to you.

