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Kosovo MO 2012 Grade 11, Problem 3
Kosovo MO 2012 Grade 11, Problem 3
Source: Kosovo MO 2012 Grade 11, Problem 3
June 7, 2021
algebra
Problem Statement
Prove that for any integer
n
≥
2
n\geq 2
n
≥
2
it holds that
(
2
n
n
)
>
4
n
2
n
\dbinom {2n}{n}>\frac {4^n}{2n}
(
n
2
n
)
>
2
n
4
n
.
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