Range of Determinant Values for Constrained Matrices

The question asks to determine all possible values the determinant can take when matrix entries are restricted to a specific set (e.g., {0,1}).

jee-advanced 2018 Q8 3 marks View

Let $P$ be a matrix of order $3 \times 3$ such that all the entries in $P$ are from the set $\{ - 1,0,1 \}$. Then, the maximum possible value of the determinant of $P$ is $\_\_\_\_$ .