1977 AHSME Problems/Problem 25

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Problem 25

Determine the largest positive integer $n$ such that $1005!$ is divisible by $10^n$. $\textbf{(A) }102\qquad \textbf{(B) }112\qquad \textbf{(C) }249\qquad \textbf{(D) }502\qquad \textbf{(E) }none of these\qquad$ \\\\