The number of functions $f:{1,2,3,4}\to {a\in \mathrm{ℤ}:|a|\leq 8}$ satisfying $f(n)+\frac{1}{n}f(n+1)=1,\forall n\in {1,2,3}$ is [JEE Main 2023, 25 Jan (Shift 2)]

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The number of functions \(f:{1,2,3,4}\to {a\in \mathrm{ℤ}:|a|\leq 8}\) satisfying \(f(n)+\frac{1}{n}f(n+1)=1,\forall n\i…

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