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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.

Пошаговое руководство

  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

Решённые примеры

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

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