In a horse race, given the # of horses, how many different superfectas (first 4 horses) are possible? Formula?

Question

In a horse race, given the # of horses, how many different superfectas (first 4 horses) are possible? Formula?

Answer 1

I hope my old math skills are up for this.  Assume the number of horses in the race is X.  The formula to find how many are possible is X times X-1 times X-2 times X-3.

So a 10 horse race would have 10 times 9 times 8 times 7 superfects or 5040 total possible.

Answer 2

The ones that win

hee hee