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Re: Simplify Binomial

• To: mathgroup at smc.vnet.net
• Subject: [mg127636] Re: Simplify Binomial
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Thu, 9 Aug 2012 03:52:23 -0400 (EDT)
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• References: <20120809013640.A3CF16843@smc.vnet.net>

Binomial[m + 1, n + 1]/Binomial[m, n] //
 FunctionExpand

(1 + m)/(1 + n)

Binomial[m, n + 1]/Binomial[m, n] //
 FunctionExpand

(m - n)/(1 + n)


Bob Hanlon


On Wed, Aug 8, 2012 at 9:36 PM, 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
>

• References:
  • Simplify Binomial
    • From: Themis Matsoukas <tmatsoukas@me.com>