Combinazioni

Last updated: 2026-08-24

Combinazioni — Calcola le combinazioni di n elementi presi r alla volta.
Inputs
Result
Enter values and press Calculate

How to use it

  1. Totale n = 10, choosing r = 4
  2. Apply formula: C(10,4) = 10! ÷ (4! × 6!)
  3. Simplify: (10×9×8×7) ÷ (4×3×2×1)
  4. Calculate: 5040 ÷ 24 = 210 combinations

Common mistakes

  • ⚠️ Using permutations formula instead of combinations
  • ⚠️ Not simplifying factorials before calculating
  • ⚠️ Confusing combinations with permutations (order matters)

Worked example

Calculate the number of combinations when choosing 4 items from 10.

The combinations {comb} count the number of ways to choose r items from n when order doesn't matter.

Input guide

FieldTypical range
rSelected items: 1 to n
nTotale items: 1 to 100