Pascal's Triangle ಅನ್ನು ಹೇಗೆ ಲೆಕ್ಕ ಹಾಕುವುದು

Pascal's Triangle ಎಂದರೇನು?

Pascal's Triangle is a triangular array where each number is the sum of the two numbers directly above it. It encodes binomial coefficients, combinatorics, and the coefficients of binomial expansions. Named after Blaise Pascal (1623–1662) though known much earlier.

ಹಂತ-ಹಂತದ ಮಾರ್ಗದರ್ಶಿ

1. 1Row 0: 1 | Row 1: 1, 1 | Row 2: 1, 2, 1 | Row 3: 1, 3, 3, 1
2. 2Entry C(n,k) = entry in row n, position k = n! / (k!(n−k)!)
3. 3Binomial expansion: (a+b)^n coefficients are row n of the triangle
4. 4Sum of row n = 2^n; diagonal sums give Fibonacci numbers

Worked Examples