Saturday, 2 April 2016

algebra precalculus - How to prove the binomial coefficient identity $binom{n}{c}+ binom{n}{c+1}= binom{n+1}{c+1}$ by induction?


$$\binom{n}{c}+ \binom{n}{c+1}= \binom{n+1}{c+1}$$





How can I prove using induction for all values of $n$ and $c$?
I have no idea how to start it. Please help!

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