Respuesta :

Answer: A three digit combination with a selection of 1 - 9 (Nine numbers) would have 729 combinations,

Answer:

Correct answer:  Vr = 10³ = 1,000  or  V = 720

Step-by-step explanation:

Given:

Input set of numbers S = {0, 1, 2, ....9} ⇒ x = 10

A string that changes n = 3

I guess the numbers can be repeated as 1,1,1 or 2,3,2....

then these are variations with repetition and the formula is:

Vr (x  n) = xⁿ

Vr (10  3) = 10³ = 1,000

if the numbers cannot be repeated then these are variations without repeating and the formula is :

V = (x  n) = x (x -1) (x -2) ..... (x - n +1)

(10 - 3 + 1) = 8

V = (10  3) = 10 ·9 · 8 = 720

God is with you!!!