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Kako izračunati Combinations Permutations

Što 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.

Vodič korak po korak

  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

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

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