Friday, 9 August 2013

Prove that $n\choose0$+$n+1\choose1$+$n+2\choose2$+...+$n+m\choose{m}$=$n+m+1\choose{m}$ combinatorically

Prove that
$n\choose0$+$n+1\choose1$+$n+2\choose2$+...+$n+m\choose{m}$=$n+m+1\choose{m}$
combinatorically

Prove that
$n\choose0$+$n+1\choose1$+$n+2\choose2$+...+$n+m\choose{m}$=$n+m+1\choose{m}$
combinatorically?
Please help!
This is urgent!

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