Difference between revisions of "Mock AIME 5 2005-2006 Problems/Problem 10"

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== Problem ==
 
== Problem ==
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Find the smallest positive integer <math>n</math> such that <math>{2n \choose n}</math> is divisible by all the primes between <math>10</math> and <math>30</math>.
  
 
== Solution ==
 
== Solution ==

Latest revision as of 13:15, 11 April 2018

Problem

Find the smallest positive integer $n$ such that ${2n \choose n}$ is divisible by all the primes between $10$ and $30$.

Solution

See also

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by
Problem 9
Followed by
Problem 11
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