Let n be the number obtained on rolling a fair die. If the probab… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 2Solving Linear Equations (Matrix Method)

Let $n$ be the number obtained on rolling a fair die. If the probability that the system $\begin{cases} x - ny + z = 6 \\ x + (n-2)y + (n+1)z = 8 \\ (n-1)y + z = 1 \end{cases}$ has a unique solution is $\dfrac{k}{6}$ , then the sum of $k$ and all possible values of $n$ is

A
$21$
B
$24$
C
$20$
D
$22$

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