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# How many ways can a mouse move from the top of this maze to the bottom

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Intern
Joined: 23 Nov 2014
Posts: 2
GMAT 1: 720 Q45 V43
How many ways can a mouse move from the top of this maze to the bottom  [#permalink]

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14 Feb 2015, 11:16
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Hello -

A sample question here from a friend that I was hoping someone could help me approach. I, unfortunately, don't have the answers as its a variation of another question.

There is a mouse that is at the top of a pyramid maze as pictured below. How many distinct routes can the mouse take to get out (exit the bottom) of the maze?
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Manager
Joined: 23 Jan 2013
Posts: 126
Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
Re: How many ways can a mouse move from the top of this maze to the bottom  [#permalink]

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14 Feb 2015, 12:08
I would say the answer is 2 ^ 4 = 16 ways .

Level 0 , 1 point 1 way
Level 1 , 2 points 2 ways
Level 3 , 3 points , 4 ways
Level 4 , 4 points , 8 ways
Level 5 , 5 points , 16 ways
Intern
Joined: 09 Apr 2013
Posts: 31
Schools: Booth '16
Re: How many ways can a mouse move from the top of this maze to the bottom  [#permalink]

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14 Feb 2015, 12:27
i think the answer is 20.
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Re: How many ways can a mouse move from the top of this maze to the bottom  [#permalink]

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14 Feb 2015, 13:37
Hi brinckma,

In these types of questions, it's important to note that the mouse can only go "down" - it can't go in "circles", go up, double back, etc.

With that 'restriction' in place, each "junction" on the map gives the mouse 2 options (go left or go right). The first junction is at the top and the mouse will cross 3 additional junctions along the way to the bottom.

2^4 = 16 paths

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Re: How many ways can a mouse move from the top of this maze to the bottom   [#permalink] 14 Feb 2015, 13:37
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