TIFR Mathematics 2022 | Part A | Question: 13
What is the number of bijections $f:\{1,2, \ldots, 9\} \rightarrow\{1,2, \ldots, 9\}$ such that, for all distinct $i, j \in\{1, \ldots, 9\}$, whenever the squares labelled $i$ and $j$ in the diagram below share an edge, the squares labelled $f(i)$ ... $8$ $9$ $4$ $24$
What is the number of bijections $f:\{1,2, \ldots, 9\} \rightarrow\{1,2, \ldots, 9\}$ such that, for all distinct $i, j \in\{1, \ldots, 9\}$, whenever the squares labelle...