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Simplify Binomial

• To: mathgroup at smc.vnet.net
• Subject: [mg127631] [mg127631] Simplify Binomial
• From: Themis Matsoukas <tmatsoukas at me.com>
• Date: Wed, 8 Aug 2012 21:36:40 -0400 (EDT)
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• Delivered-to: l-mathgroup@wolfram.com
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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

• Follow-Ups:
  • Re: Simplify Binomial
    • From: Bob Hanlon <hanlonr357@gmail.com>
  • Re: Simplify Binomial
    • From: Jack L Goldberg 1 <jackgold@umich.edu>
  • Re: Simplify Binomial
    • From: Andrzej Kozlowski <akozlowski@gmail.com>
  • Re: Simplify Binomial
    • From: Bob Hanlon <hanlonr357@gmail.com>