Show that for every positive integer

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

Problem

Show that for every positive integer nn, the alternating sum of its binomial coefficients satisfies ∑k=0n(−1)k(nk)=0.\sum_{k=0}^{n}(-1)^k{n\choose k}=0.

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