math
posted by al .
Downtown Mathville is laid out as a square grid of 9 NorthSouth streets and 9 EastWest
streets (See diagram). Your apartment is located at the Southwest corner of downtown
Mathville. (See point T.) Your math classroom is located in a building that is 6 blocks
East and five blocks North of your apartment. (See point B. The building is on the
corner.) You know that it is an 11 block walk to math class and that there is no shorter
path (no cutting across a block diagonally). Your curious roommate (we’ll call her
Curious Georgia) asks how many different paths (of length 11 blocks – you don’t want
backtrack or go out of your way) could you take to get from your apartment to the math
class. Solve Curious Georgia’s math problem and give a careful explanation as to why
your answer is correct.
B
T
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