Difference between revisions of "Mock AIME 4 2006-2007 Problems/Problem 10"
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==Problem== | ==Problem== | ||
Compute the [[remainder]] when <center><p><math>{2007 \choose 0} + {2007 \choose 3} + \cdots + {2007 \choose 2007}</math></p></center> is divided by 1000. | Compute the [[remainder]] when <center><p><math>{2007 \choose 0} + {2007 \choose 3} + \cdots + {2007 \choose 2007}</math></p></center> is divided by 1000. | ||
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==Solution== | ==Solution== | ||
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| − | + | == See also == | |
| − | + | {{Mock AIME box|year=2006-2007|n=4|num-b=9|num-a=11|source=125025}} | |
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| − | + | *[[Binomial theorem]] | |
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| − | * [[Binomial theorem]] | ||
*[[Modular arithmetic]] | *[[Modular arithmetic]] | ||
Revision as of 15:38, 8 October 2007
Problem
Compute the remainder when
is divided by 1000.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| Mock AIME 4 2006-2007 (Problems, Source) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
