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Counting Lattice Paths

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generate random path
number of columns
3
4
5
6
number of rows
3
4
5
6
show solution
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.
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