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The map above shows the trails through a wilderness area.

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by BTGmoderatorDC » Fri Dec 06, 2019 2:07 pm
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The map above shows the trails through a wilderness area. If travel is in the direction of the arrows, how many routes along the marked trails are possible from point A to point B ?

A. 11
B. 18
C. 54
D. 108
E. 432

OA C

Source: Official Guide
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by [email protected] » Sat Dec 07, 2019 2:14 pm
Hi All,

We're told that the map above shows the trails through a wilderness area and travel must be done in the direction of the arrows. We're asked for the total number of routes along the marked trails that are possible from point A to point B. This is a variation on a Permutation question and requires just a bit of Multiplication to solve.

At the first 'step' on the trail, we have 2 options (go "up" or go "down"). After making that choices, we then have 3 additional 'steps' (with 3 options at each step) before we take the final path to point B. Thus, the total number of possible routes is:

(2)(3)(3)(3) = 54 different routes

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
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GMAT/MBA Expert

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Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members
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GMAT Score:800

by [email protected] » Sat Dec 07, 2019 2:14 pm
Hi All,

We're told that the map above shows the trails through a wilderness area and travel must be done in the direction of the arrows. We're asked for the total number of routes along the marked trails that are possible from point A to point B. This is a variation on a Permutation question and requires just a bit of Multiplication to solve.

At the first 'step' on the trail, we have 2 options (go "up" or go "down"). After making that choices, we then have 3 additional 'steps' (with 3 options at each step) before we take the final path to point B. Thus, the total number of possible routes is:

(2)(3)(3)(3) = 54 different routes

Final Answer: C

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
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