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This exploration investigates how many ways there are to travel through an array of streets. The exploration, part of the Figure This! collection of 80 math challenges, examines the relationship between the number of intersections and the number of possible routes. The challenge page contains links to a solution hint, the solution, and other similar investigations. The solution describes and illustrates how a number pattern is embedded in the question. Similar investigations ask the student to analyze other arrays and to find the shortest possible routes. The importance of these routing questions to the transportation industry is noted. Information and a short book list about the patterns found in Pascal's triangle are also included. Copyright 2005 Eisenhower National Clearinghouse
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