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Need to prove that function $$P(n,k)=\binom{n}{k}= \frac{n!}{k!(n-k)!}$$ is increasing when $\displaystyle k\leq\frac{n}{2}$.

Is this inductive maths topic?

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    Do you mean, fix $n$ and let $k$ increase? Or, do you mean fix $k$ and let $n$ increase? There are two variables. Which one are you wondering about?2012-09-15

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