Q33

Define the connective $*$ for the Boolean variables $X$ and $Y$ as:

$$X * Y = XY + X'Y'.$$

Let $Z = X * Y$. Consider the following expressions $P$, $Q$ and $R$.

$$P : X = Y * Z, \\ Q :Y = X * Z, \\ R : X *Y * Z = 1$$

Which of the following is TRUE?