$(1$b$)(3$p$)$ Which statement$($s$)$ is$($are$)$ invalid?

$($A$)$ Entropy is a conserved property, and there exists a conservation of entropy principle.

$($B$)$ Processes can occur in a certain direction only, not in any direction.

$($C$)$ A process must proceed in the direction that complies with the increase of entropy principle.

$($D$)$ Entropy generation $(\backslash$math$-$container$\{$S$\backslash$index$\{$gen$\}\})$ is a measure of the magnitudes of the irreversibilities during a process.

$($E$)$ Entropy may be transferred by heat transfer and mass transfer.