Respuesta :

The answer is 5040.

This is permutation without the repetition:
P = n!/(n - r)!

n - the number of choices
r - the number of chosen

We have:
n = 10
r = 4

P = 10!/(10 - 4)!
   = 10!/6!
   = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1)
   = 10 * 9 * 8 * 7
   = 5040