Counting Lattice Paths

A lattice has labels A and B at opposite corners. This Demonstration determines the total number of possible paths from A to B, with moves either up or to the right. You can generate a random path from A to B or change the number of columns or rows in the grid. Check "show solution" to display an analog of a Pascal's triangle that gives the total number of possible paths from point A to all other points.



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


This was a project for Advanced Topics in Mathematics II, 2016–2017, Torrey Pines High School, San Diego, CA.
[1] M. Coffey and A. Kalish, eds., "Calendar and Solutions—December 2012," Mathematics Teacher, 106(4), 2012.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.