permutation in statistics

Systems can have things that can be at sequence positions, or a thing can have a succession of states {permutation}| {arrangement}.

states

Number P of permutations for succession of states is product of number N of states raised to power of number R of events: N^R.

things

For sequences, number of permutations is product of number N of things times number of things minus one, and so on, until number R of sequence positions: N * (N - 1) * (N - 2) * ... * (N - R + 1). Using an outcome makes it unavailable for succeeding events.

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Date Modified: 2022.0224