Pascal's Triangle (2D) — Binomial Distribution & Combinatorics

🔢 Pascal's Triangle (2D)

Rows: 14

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Last row → bell curve

Normalized row n behaves like a Binomial(n, ½) distribution. By the De Moivre–Laplace theorem, as n grows the bars hug the dashed Gaussian curve with mean n/2 and σ = √(n)/2.

Pascal's Triangle
C(n,k) = C(n−1,k−1) + C(n−1,k)
Row sum = 2ⁿ | C(n,k) = n!/(k!(n−k)!)