# Counting Lattice Paths

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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.

Contributed by: George Zhang (February 2017)

With additional contributions by: Deqiang Zhang

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This was a project for Advanced Topics in Mathematics II, 2016–2017, Torrey Pines High School, San Diego, CA.

Reference

[1] M. Coffey and A. Kalish, eds., "Calendar and Solutions—December 2012," *Mathematics Teacher*, 106(4), 2012. www.nctm.org/Publications/mathematics-teacher/2012/Vol106/Issue4/Calendar-and-Solutions---December-2012.

## Permanent Citation

"Counting Lattice Paths"

http://demonstrations.wolfram.com/CountingLatticePaths/

Wolfram Demonstrations Project

Published: February 10 2017