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

m
(No difference)

Revision as of 21:24, 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