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Pascal's Triangle Explained — The Triangle That Counts Everything

YouTubeZeroToInfinity - Learn Math

Pascal's Triangle Explained — The Triangle That Counts Everything

The same triangle of numbers appears when you expand a binomial, when you count paths through a grid, when you toss coins, when you choose a committee, and when you drop balls through a pegboard. In this video we prove it: c(n,k) = C(n-1,k-1) + C(n-1,k), and Σ_k C(n,k)x^k = (1+x)^n; the entries count k-subsets, lattice paths, and binomial ...

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