2003 AIME I Problems/Problem 1
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Problem
Given that
where and are positive integers and is as large as possible, find
Solution
We use the definition of a factorial to get
We certainly can't make any larger if is going to stay an integer, so the answer is .
See also
2002 AIME I (Problems • Answer Key • Resources) | ||
Preceded by First Question |
Followed by Problem 2 | |
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All AIME Problems and Solutions |