JEE Math Practice Question

If $${{}^{20}{C_r}}$$ is the co-efficient of xr in the expansion of (1 + x)20, then the value of $$\sum\limits_{r = 0}^{20} {{r^2}.{}^{20}{C_r}} $$ is equal to :

1. A.$$420 \times {2^{19}}$$
2. B.$$380 \times {2^{19}}$$
3. C.$$380 \times {2^{18}}$$
4. D.$$420 \times {2^{18}}$$