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🔢 Permutation & Combination Calculator
Total Items (n)
Total number of items in the set (positive integer)
Chosen Items (r)
Number of items to choose (r ≤ n)
Calculation Type
Permutation (nPr) - Order matters
Combination (nCr) - Order doesn't matter
Allow Repetition
Show Calculation Formula
Calculate Result
Result
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Formula Used:
Quick Examples:
10P3
10C3
5P2 (repetition)
5C2 (repetition)
Notes:
Permutation (nPr): n! / (n-r)! (without repetition)
Permutation with repetition: n^r
Combination (nCr): n! / (r! × (n-r)!) (without repetition)
Combination with repetition: (n+r-1)! / (r! × (n-1)!)
n! (factorial) = n × (n-1) × ... × 1 (0! = 1)