Interactive Demo ยท From Chapter 1

The Counting Playground

โšก LIVE โ€” Choices Multiply

Each stage multiplies. Set the options per stage and watch the total โ€” every arithmetic shown is exact.

โšก LIVE โ€” The Doubling Ladder

\(n\) coin flips give exactly \(2^n\) outcomes. Drag the rung.

โšก LIVE โ€” Arrange or Choose

From \(n\) distinct things, take \(k\). Order matters (falling product) or doesn't (choose). Exact BigInt arithmetic โ€” no floating point fog.