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Kuinka laskea Combinations Permutations

Mikä on Combinations Permutations?

Combinations count ways to choose items where order does not matter. Permutations count ways where order does matter. Both use factorials and appear in probability, statistics, and combinatorics.

Vaiheittainen opas

  1. 1Permutations (order matters): P(n,r) = n! / (n−r)!
  2. 2Combinations (order irrelevant): C(n,r) = n! / (r!(n−r)!)
  3. 3Rule of thumb: if you can swap two items and get a different result, use permutations

Ratkaistut esimerkit

Syöte
Choose 3 from 10 (order matters)
Tulos
720
P(10,3) = 10×9×8 = 720
Syöte
Choose 3 from 10 (order irrelevant)
Tulos
120
C(10,3) = 720/6 = 120
Syöte
Lotto: 6 from 49
Tulos
13,983,816
C(49,6)

Asetukset

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