Pascal's Triangle Row Calculator — 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
### 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
Exemplo Resolvido
Find the entry at row 6, position 2 of Pascal's triangle.
- C(6, 2) = 6! / (2! × 4!)
- = 720 / (2 × 24)
- = 720 / 48
- = 15
- Row 6: 1, 6, 15, 20, 15, 6, 1