A Problem for Geoff Pilling

True or false:

\[\overline{(n-1)(n-3)(n-2)(n-5)(n-4)}_n\] is divisible by \(n+1\), were \(n \geq 5\)

Clarification: The subscript means number base \(n\). The line above the number means that \((n-1)\ldots\) are digits of the number.


Inspiration.

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