Difference between revisions of "2011 UNCO Math Contest II Problems/Problem 6"
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== Problem == | == Problem == | ||
− | What is the remainder when <math>1! + 2! + 3! + | + | What is the remainder when <math>1! + 2! + 3! + \cdots + 2011!</math> is divided by <math>18</math>? |
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== Solution == | == Solution == |
Latest revision as of 00:42, 28 October 2015
Problem
What is the remainder when is divided by ?
Solution
Since all the terms past are divisible by , it is only necessary to look at the remainder resulted from the first 5 terms.
See Also
2011 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |