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Solve a Path Problem
Using Pascal's Triangle

Consider the following diagram:

Start A
Row 1 B C
Row 2 D E F
Row 3 G H I J

A path is a sequence of letters that leads from A to a letter in a different row. Each step in the path must take you down one row. You cannot move left or right or up.
For example, one path from A to I would be the sequence A - C - E - I.

How many different paths are there from A to H?

Check your answer or try another problem.


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email the author: Bruce Jacobs
Last modified: Thursday, February 6, 2003