Combinatorics Calculator
Calculate permutations and combinations. With and without repetition.
Anordnungen ohne Wiederholung
Ergebnis
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Formel
P(n,k) = n! / (n-k)!
Note: These calculations are for informational purposes only and do not replace professional tax or financial advice. All information without guarantee.
Frequently Asked Questions
What is the difference between permutations and combinations?
Permutations count arrangements where order matters (ABC is different from BAC). Combinations count selections where order does not matter (ABC and BAC are the same).
How do I calculate the number of possible combinations?
Combinations: C(n,k) = n! / (k! times (n-k)!). For example, choosing 3 items from 10: C(10,3) = 120. The exclamation mark denotes factorial (e.g., 5! = 120).
What is the Combinatorics Calculator?
The combinatorics calculator computes permutations, combinations and variations with and without repetition.
How does the Combinatorics Calculator work?
Choose the calculation type: permutation (arrangement of all elements), combination (selection without order) or variation (selection with order). The calculator computes the count and shows the formula.
Key Data and Facts
Permutation: n! Combination without repetition: n! / (k! * (n-k)!). Variation without repetition: n! / (n-k)!. Factorial: n! = 1 * 2 * ... * n.
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