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Jak vypočítat Combinations Permutations

Co je 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.

Průvodce krok za krokem

  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

Worked Examples

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

Nastavení

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