MathCastle
Counting & ProbabilityMediumBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Medium problem

Evaluate ∑k=06(6k)26−k(−1)k\displaystyle\sum_{k=0}^{6}\binom{6}{k}2^{6-k}(-1)^k.