PROBABILITY: 64 students are about to participate in a class knock out tournament. The first round consists of 32 games with 2 students per game. The 32 winners get to advance to the next round. In how many different ways can the 64 participating students be paired up on the first round? (Don't consider the order in which students can be paired up)

Question

anonymous · Answer

I think it is just 64! but i just wanna be sure .. feel like im missing something :/

anonymous · Answer

is the ans 2016??

anonymous · Answer

don't have answers so a bit lost .. how did u get that?

anonymous · Answer

i am not sure of my ans. so sorry.

anonymous · Answer

@nabsz.j here is what you do...

anonymous · Answer

its ok :(

anonymous · Answer

mm

anonymous · Answer

because you are told not too consider the order,i.e.if the pair is whether (a,b) or (b,a) it's the same so you have to use combination.

anonymous · Answer

ohhhh, i thought it meant (a,b) and (b,a) are different

anonymous · Answer

it says "don't consider the order"...can you do it now?

anonymous · Answer

but then if we go $$\left(\begin{matrix}64 \ 32\end{matrix}\right)$$ , doesnt that mean out of 64 we are choosing 32? why are we choosing 32..?

anonymous · Answer

maybe you should use combination!    32 C 2= 496

anonymous · Answer

OHHHH
dont worry, dont worry! i getcha

anonymous · Answer

no....you are choosing 2 out off 64 so 64 C 2.

anonymous · Answer

yep yep yep, i got it! THANK YOU very much :)

anonymous · Answer

OK...good!