Posted by **tariq** on Friday, May 17, 2013 at 8:54pm.

How many ways can 12 horses in a race come in 1st, 2nd, and 3rd place

- MATH HELP!! -
**Reiny**, Friday, May 17, 2013 at 9:02pm
and what is

12x11x10 ?

Do you know why I did that calculation?

- MATH HELP!! -
**Eric**, Friday, May 17, 2013 at 9:49pm
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**, Monday, May 20, 2013 at 6:17pm
f u

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