There are 12 men at a dance.
(a) In how many ways can eight of them be selected to form a cleanup crew?
(b) How many ways are there to pair off eight women at the dance with eight of these 12 men?

Question

There are 12 men at a dance. 
(a) In how many ways can eight of them be selected to form a cleanup crew? 
(b) How many ways are there to pair off eight women at the dance with eight of these 12 men?

anonymous · Answer

i think that the (a) is a combination C(12,9)

anonymous · Answer

Why would you say C(12,9)  I think it should be C(12,8)   what do you think

anonymous · Answer

ajjaja u r right well it is because i m spanish native and i m always confused with the nine and the eight

anonymous · Answer

So what would be the equation.  (12,8)

anonymous · Answer

yes C(12,8)

anonymous · Answer

Thanks  :o)

anonymous · Answer

i think that the order does not matter here because it is a team

anonymous · Answer

for the (b) part i think it is a permutation, here the order matters

anonymous · Answer

So would it be 12*11*10*9*8*7*6*5=1995480