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?


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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