nCr & nPr Calculator

Permutation & Combination Tool

Calculate the number of permutations (nPr) and combinations (nCr) for given n and r values. Enter n (total items) and r (selected items).

n (total items) n ≥ 0

r (selected items) 0 ≤ r ≤ n

📊 nPr (Permutations): —

📊 nCr (Combinations): —

ℹ️ nPr = n! / (n-r)! nCr = n! / (r!(n-r)!)

Permutation (nPr): Order matters. Example: selecting committee roles.

Combination (nCr): Order does NOT matter. Example: lottery numbers.

Formula reference: nPr = n!/(n-r)! | nCr = nPr / r!