Calculatrice de Combinaisons Gratuite

Calculez le nombre de combinaisons possibles. Trouvez les sélections non ordonnées de n objets pris r à la fois.

Combinations

120

Permutations720

Formule

How to Calculate Combinations

Formula

C(n, r) = n! / (r! × (n - r)!)

Where:

  • n = total number of items
  • r = number of items being chosen
  • Combinations count selections where order does not matter.

    Exemple Résolu

    How many ways can you choose 3 items from a set of 10? (Order does not matter)

    1. 01C(10, 3) = 10! / (3! × 7!)
    2. 02= 3,628,800 / (6 × 5,040)
    3. 03= 3,628,800 / 30,240
    4. 04= 120

    Questions Fréquentes

    What is a combination?

    A combination is a selection of objects where the order does not matter. Choosing {A, B, C} is the same as choosing {C, B, A}.

    Where are combinations used?

    Combinations are used in lottery calculations, committee selections, card hands (e.g., poker), and any scenario where you select items without regard to order.

    Apprendre

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