Simplify Binomial

*To*: mathgroup at smc.vnet.net*Subject*: [mg127631] Simplify Binomial*From*: Themis Matsoukas <tmatsoukas at me.com>*Date*: Wed, 8 Aug 2012 03:18:25 -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

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