Matrices And Determinants

Let $\alpha, \beta$ and $\gamma$ be real numbers. Consider the following system of linear equations


$$ \begin{aligned} & x+2 y+z=7 \\\\ & x+\alpha z=11 \\\\ & 2 x-3 y+\beta z=\gamma \end{aligned} $$


Match each entry in List-I to the correct entries in List-II.



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List - I	List - II
(P) If $\beta=\frac{1}{2}(7 \alpha-3)$ and $\gamma=28$, then the system has	(1) a unique solution
(Q) If $\beta=\frac{1}{2}(7 \alpha-3)$ and $\gamma \neq 28$, then the system has	(2) no solution
(R) If $\beta \neq \frac{1}{2}(7 \alpha-3)$ where $\alpha=1$ and $\gamma \neq 28$, then the system has	(3) infinitely many solutions
(S) If $\beta \neq \frac{1}{2}(7 \alpha-3)$ where $\alpha=1$ and $\gamma=28$, then the system has	(4) $x=11, y=-2$ and $z=0$ as a solution
	(5) $x=-15, y=4$ and $z=0$ as a solution

The correct option is: