1. The problem statement, all variables and given/known data I'm looking to find a closed form for the infinite series: 1*C(n,1) + 2*C(n,2) + 3*C(n,3) + ... + n*C(n,n) 2. Relevant equations C(n,k) = n!/(k!*(n-k)!) C(n,1) + C(n,2) + C(n,3) + ... + C(n,n) = 2^n - 1 3. The attempt at a solution I'm not quite sure where to start this problem. Any tips?