Counting Paths through a Grid

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A downward path joins the top spot A to the variable bottom spot B. For a fixed B, there are " choose " = possible paths, where is the row number and counts how far B is along its row, with both and starting at zero. These numbers are the binomial coefficients that form Pascal's triangle.

Contributed by: George Beck and Rob Morris (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.