Calcolatore Triangolo di Pascal — Formula

Pascal's Triangle

Binomial Coefficient

C(n, k) = n! / (k! × (n-k)!)

This is the entry in row n, position k of Pascal's triangle (both starting from 0).

Properties

Each entry equals the sum of the two entries above it

Row sums: each row sums to 2^n

Symmetry: C(n, k) = C(n, n-k)

The entries give the coefficients of (a+b)^n