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Let [tex]R ^{M} _{P}= \sum_{s=0}^{P} {M+1 \choose s}[/tex], for [tex]0 \leqslant P \leqslant M [/tex], [tex]P,M\in \mathbb{N}[/tex].

Proove that:

[tex] \sum_{q=0}^{M}R^{M}_{q}\cdot R^{M}_{M-q}=(2M+1) {2M \choose M}[/tex]

and give it's combinatorical idea.

I'm trying to solve this for 3 days - please help..

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# Homework Help: Combinatorics/Probability problem.

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