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\(10^x+10^y+10^z=n,\) 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
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
