Re: Simplify Binomial
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- Subject: [mg127639] Re: Simplify Binomial
- From: Andrzej Kozlowski <akozlowski at gmail.com>
- Date: Thu, 9 Aug 2012 03:53:23 -0400 (EDT)
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On 9 Aug 2012, at 03:36, Themis Matsoukas <tmatsoukas at me.com> wrote:
> This works:
>
> FullSimplify[Binomial[m + 1, n + 1]/Binomial[m, n]]
>
> (1 + m)/(1 + n)
>
> but this doesn't:
>
> FullSimplify[Binomial[m, n + 1]/Binomial[m, n]]
>
> Binomial[m, 1 + n]/Binomial[m, n]
>
> How do I get Mathematica to simplify the last result to (m-n)/n?
>
> Thanks
>
Your answer is wrong, but anyway FullSimplify won't work here. However:
FunctionExpand[Binomial[m, n + 1]/Binomial[m, n],
Element[m | n, Integers] && m > 0 &&
n > 0 && m > n]
(m - n)/(n + 1)
- References:
- Simplify Binomial
- From: Themis Matsoukas <tmatsoukas@me.com>
- Simplify Binomial