Difference between revisions of "2006 AIME I Problems/Problem 4"

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Revision as of 20:24, 4 July 2006

Problem

Let $N$ be the number of consecutive 0's at the right end of the decimal representation of the product $1!2!3!4!\cdots99!100!.$ Find the remainder when $N$ is divided by 1000.



Solution

See also