Re: Simplify Binomial

*To*: mathgroup at smc.vnet.net*Subject*: [mg127639] Re: Simplify Binomial*From*: Andrzej Kozlowski <akozlowski at gmail.com>*Date*: Thu, 9 Aug 2012 03:53:23 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <20120809013640.A3CF16843@smc.vnet.net>

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>