Posted by tariq on .
How many ways can 12 horses in a race come in 1st, 2nd, and 3rd place

MATH HELP!! 
Reiny,
and what is
12x11x10 ?
Do you know why I did that calculation? 
MATH HELP!! 
Eric,
Mr. Reiny's doing permutations. A permutation is when order matters. In this case, you can't have any ties: you can only have one person for first place, one person for second place, and similarly one person for third place. Therefore, there are 12 horses competing for first place, 11 competing for second place (since one has already won first place), and 10 competing for third place (since two out of the 12 have won first and second places). Multiply the three to get the number of ways.

MATH HELP!! 
ameteyhauh,
f u

MATH HELP!! 
Kolo Tore,
This is a permutation. So you would do 12!/[(123)!]

MATH HELP!! 
Kolo Tore,
1320

MATH HELP!! 
Anonymous,
How many ways can 3 children come 1st, 2nd and 3rd