Prove that for positive integers and with .

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

Prove that nCr+nCr−1= n+1Cr{}^{n}C_{r}+{}^{n}C_{r-1}={}^{\,n+1}C_{r} for positive integers nn and rr with n≥r≥1n\ge r\ge1.

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