SAT Math Multiple Choice Practice Question 149: Answer and Explanation

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Question: 149


The diagram above shows the possible routes from Benjamin's home to his school. He always walks only north and east, and he makes sure to always walk at least one block on Elm Avenue. How many different routes can he take to get to school?

A. Three
B. Four
C. Five
D. Six
E. Seven

Correct Answer: D


D. If Benjamin starts out walking north, he has to turn east on Elm Avenue (because he must walk at least one block on it). From there, he has three possible routes to school. If he starts walking east, he has three more possible routes, as the diagram below shows:

All together, Benjamin has six possible routes.

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