Question

Question #5e639

Answer 1

`6840` possibilities

Thanks George C.!

Explanation:

This is an example of a permutation because the order of the horses matter.

So we have `""_20P_3=(20!)/((20-3)!)=(20!)/(17!)=(20*19*18*17!)/(17!)`

Canceling the `17!` we get:

`(20*19*18*cancel(17!))/cancel(17!)=20*19*18=6840`

So 6840 possible ways the horses could finish.