What Are Permutations and Factorials?

$$\text{The Chaotic Canal}$$

===

The Chaotic Canal is the new exciting waterslide in Euler's Eddy, a waterpark for numbers. It brings the riders down into a large whirlpool which mixes them up before spitting them back out. Riders can come out in a different order than they started from.

Four friends, $x$, $+$, $=$, and $2$ all go down one after the other. Due to the whirlpool, they exit in a random order. For example, they could exit $x+=2$. If $+$ or $=$ appears with no numbers or variables on one of their sides, treat it as if there's a zero there. For example, $x+=2\rightarrow x+\color{#8925AE}{0}=2$.