Thursday, 16 July 2015

calculus - Proof that nchooser always yields a natural number proof by induction

(https://i.stack.imgur.com/vfy4d.jpg)
Hi I'm trying to prove that the {n\choose r} formula gives a natural number by using proof by induction and I'm stuck on the last stage (in the picture above). Have I messed up earlier on and if not then how can I show that \frac{n+1}{n-r+1} is a natural number. I know there are other articles but I can't seem to find an answer to this.
Cheers

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