What's " $d!$ "?

A point $(3,2)$ undergoes the following three transformations successfully:
(i) : Reflection about the line $y=x$ .
(ii) : Translation by a distance of 1 unit in the positive direction of $x$ -axis.
(iii) : Rotation by an angle of $45^\circ$ about the origin in the anti-clockwise direction.

If the final position of the point is $(0, d\sqrt2)$ , find the value of $d!$ .

Clarification: You have to find the value of $d!$ , not d, where $!$ is a factorial notation.