Counting by the finger

What is the maximum number \(n\) we can count \((0\) to \(n\) with increments of \(1)\) by using the five fingers on only one of our hands?

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Details and Assumptions:

  • When counting, each of the fingers is only either raised or lowered. Tilting, bending, or whatsoever maneuvers made don't constitute any other meanings or values.

  • A finger combination may not have multiple values. For example, if raising all fingers counts to \(5\), then it can never be used for other numbers.

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