Answer:
Option A
Explanation:
If A and B are two sets having m and n elements such that
$1\leq n \leq m=\sum_{r=1}^n (-1)^{n-r} $ $^{n}C_{r}r^{m}$
Number of surjection from A to B
$\sum_{r=1}^n(-1)^{2-r}$ $^{2}a_{r}(r)^{4}$
= $(-1)^{2-1} .{^{2}C_{1}}(1)^{4}+(-1)^{2-2}. {^{2}C_{2}}(2)^{4}=-2+16$
=14