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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.

Guida passo passo

  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

Esempi risolti

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

Impostazioni

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