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Mathematics-Online problems:

Interactive Problem 288: Find your Path in MathCity


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The figure shows the concept of a grid plan for a city, where mathematics is to play an important part.

\includegraphics[height=8.5cm]{TdM_03_A2_Bild1}

Determine the number of possibilities to reach each of the intersections marked $ A$, $ B$, $ C$, and $ D$, respectively, when setting off at the intersection Galois Avenue/Gauss Street $ K$ and choosing the shortest possible route. (Routes with the same number of intersections are considered to be of equal length.) Take into account that the 2 shaded intersections of Cea Place are closed.


Answer:

From K to A there exist possibilities.
From K to B there exist possibilities.
From K to C there exist possibilities.
From K to D there exist possibilities.

   

(From: Day of Mathematics 2003)

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  automatically generated: 8/11/2017