Difference between revisions of "2006 SMT/Advanced Topics Problems/Problem 3"
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==Problem== | ==Problem== | ||
Simplify: <math> \sum_{k=10}^{2006}\binom{k}{10} </math> (Your answer should contain no summations but may still contain binomial coefficients/combinations). | Simplify: <math> \sum_{k=10}^{2006}\binom{k}{10} </math> (Your answer should contain no summations but may still contain binomial coefficients/combinations). | ||
Latest revision as of 21:04, 25 May 2025
This article is a stub. Help us out by expanding it.
Problem
Simplify: 
(Your answer should contain no summations but may still contain binomial coefficients/combinations).
Solution
Recall from the Hockey Stick Identity that 
. Therefore, we have 
.
