Calculadora de FatorialFormula

Factorial, Permutations, and Combinations

Factorial

n! = n × (n-1) × (n-2) × ... × 2 × 1

0! = 1 by convention.

Permutations (order matters)

P(n, r) = n! / (n-r)!

Number of ways to arrange r items from n distinct items.

Combinations (order doesn't matter)

C(n, r) = n! / (r! × (n-r)!)

Number of ways to choose r items from n without regard to order.

Exemplo Resolvido

Calculate 10!, P(10,3), and C(10,3).

  1. 10! = 3,628,800
  2. P(10,3) = 10!/7! = 10×9×8 = 720
  3. C(10,3) = 720/3! = 720/6 = 120