Statement-1: $$\sum_{r=0}^{n}(r+1) {}^n C_r = (n+2) 2^{n-1}$$. Statement-2: $$\sum_{r=0}^{n}(r+1) {}^n C_r x^r = (1+x)^n + nx(1+x)^{n-1}$$.

A

Statement-1 is false, Statement-2 is true

B

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.

D

Statement-1 is true, Statement-2 is false.