\(10^x+10^y+10^z=n,\) where \(x, y,\) and \(z\) are positive integers. Which of the following could be the total number

\(10^x+10^y+10^z=n,\) where \(x, y,\) and \(z\) are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in \(n?\)

I. \(x + y\)
II. \(y - z\)
III. \(z\)

A. III only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III

Answer: E

Source: Magoosh