SOLUTION: Could you please tell me what I did wrong with this problem? A horse race has 12 entries. Assuming there are no ties, what is the probability that the three horses owned by one

Algebra ->  Permutations -> SOLUTION: Could you please tell me what I did wrong with this problem? A horse race has 12 entries. Assuming there are no ties, what is the probability that the three horses owned by one      Log On


   



Question 1006539: Could you please tell me what I did wrong with this problem?
A horse race has 12 entries. Assuming there are no ties, what is the probability that the three horses owned by one person finish first, second, and third?
What I tried: 12!/(12-3)! = 12*11*10*9!/9!= 1320; P(1-owner of 3 horses place 1st, 2nd & 3rd) = 1/1320 = .00076

The textbook says the answer is .005.
Thank you.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3 hoses out of the 12 must finish 1, 2, and 3
but their order doesn't matter. I get:
+%283%2F12%29%2A%282%2F11%29%2A%281%2F10%29+=+6%2F1320+
+6%2F1320+=+.00454+
or about .005
or did I make it too simple?