Kostenloser Permutationsrechner

Berechne die Anzahl der Permutationen (Anordnungen) aus n Elementen mit k ausgewählten Elementen.

Permutations

720

N Factorial3,628,800
N Minus R Factorial5,040

Formel

How to Calculate Permutations

Formula

P(n, r) = n! / (n - r)!

Where:

  • n = total number of items
  • r = number of items being chosen
  • ! = factorial
  • Permutations count arrangements where order matters.

    Lösungsbeispiel

    How many ways can you arrange 3 items from a set of 10? (Order matters)

    1. 01P(10, 3) = 10! / (10-3)!
    2. 02= 10! / 7!
    3. 03= 10 × 9 × 8
    4. 04= 720

    Häufig Gestellte Fragen

    What is a permutation?

    A permutation is an arrangement of objects where the order matters. For example, the arrangements ABC and BAC are different permutations.

    What is the difference between permutation and combination?

    Permutations count arrangements where order matters (ABC ≠ BAC). Combinations count selections where order does not matter (ABC = BAC).

    Lernen

    How to Calculate Percentages - Complete Guide

    Verwandte Rechner