Permutations & Combinations

Input Parameters

Calculation Steps

💡 Permutations & Combinations Formulas

Permutation (nPr): Arranging items in a specific order. ${}_n \mathrm{P}_r = \frac{n!}{(n-r)!}$
Combination (nCr): Choosing items without considering order. ${}_n \mathrm{C}_r = \frac{n!}{r!(n-r)!}$
Combination with Repetition (nHr): Choosing items with repetitions allowed. ${}_n \mathrm{H}_r = {}_{n+r-1} \mathrm{C}_r$
Factorial (n!): Total number of ways to arrange n distinct items. $n! = n \times (n-1) \times \dots \times 1$