2010 AIME I Problems/Problem 2
Contents
Problem
Problem
Find the remainder when is divided by .
Solution
Note that (see modular arithmetic). That is a total of integers, so all those integers multiplied out are congruent to . Thus, the entire expression is congruent to .
See Also
2010 AIME I (Problems • Answer Key • Resources) | ||
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Followed by Problem 3 | |
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