MathCastle
Counting & ProbabilitySuperchallengeBinomial Theorem, Pascal & Combinatorial Identities

Binomial Theorem, Pascal & Combinatorial Identities · Superchallenge problem

Evaluate ∑k=110k(10k)(10k−1)\displaystyle\sum_{k=1}^{10}k\binom{10}{k}\binom{10}{k-1}.