Q.If $\binom{n}{1} + 2\binom{n}{2} + 3\binom{n}{3} + \cdots + n \binom{n}{n} = n \cdot 2^{n-1} \cdot k$ , then $k$ equals

The correct solution involves applying the fundamental concept to derive the final value step by step...

Already a member? Login here

Q.If (n1)+2(n2)+3(n3)+⋯+n(nn)=n⋅2n−1⋅k\binom{n}{1} + 2\binom{n}{2} + 3\binom{n}{3} + \cdots + n \binom{n}{n} = n \cdot 2^{n-1} \cdot k(1n​)+2(2n​)+3(3n​)+⋯+n(nn​)=n⋅2n−1⋅k, then kkk equals