Question #5e639

1 Answer
Oct 11, 2017

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.