Evaluate the sum .

MATHEMATICS · Single correct · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

Evaluate the sum ∑k=0626−k (6k)\displaystyle \sum_{k=0}^{6} 2^{6-k}\,{6\choose k}. (a) 486486 (b) 728728 (c) 729729 (d) 243243

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