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The diagram above shows the various paths along which a mous

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The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 07:31
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The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?

(A) 6
(B) 7
(C) 12
(D) 14
(E) 17
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 07:33
Attachment:
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The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?

(A) 6
(B) 7
(C) 12
(D) 14
(E) 17

There are 3 forks along the path: 2 choices for the first one, 2 for the second and 3 for the third. Hence total # of ways is 2*2*3=12.

Answer: C.
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 07:56
Also counting is fast

12 or 11 paths. 12 is the only among the options.

So C
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 11:26
Bunuel wrote:
Attachment:
Path.png
The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?

(A) 6
(B) 7
(C) 12
(D) 14
(E) 17

There are 3 forks along the path: 2 choices for the first one, 2 for the second and 3 for the third. Hence total # of ways is 2*2*3=12.

Answer: C.


Dear Bunnel,
Could you please clarify it more...How the forks are working?
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 11:46
Drik wrote:
Bunuel wrote:
Attachment:
Path.png
The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?

(A) 6
(B) 7
(C) 12
(D) 14
(E) 17

There are 3 forks along the path: 2 choices for the first one, 2 for the second and 3 for the third. Hence total # of ways is 2*2*3=12.

Answer: C.


Dear Bunnel,
Could you please clarify it more...How the forks are working?



is pretty simple: one the first fork you have 2 choices - right and left; idem for the second one; 3 for the third one: right, left and central to the goal. 2*2*3=12

That's it
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 28 Dec 2012, 01:52
Walkabout wrote:
Attachment:
Path.png
The diagram above shows the various paths along which a mouse can travel from point X, where it is released, to point Y, where it is rewarded with a food pellet. How many different paths from X to Y can the mouse take if it goes directly from X to Y without retracing any point along a path?

(A) 6
(B) 7
(C) 12
(D) 14
(E) 17


Technique here is to multiply the number of choices in every point of decision:
2*2*3 = 12

Answer: C
Re: The diagram above shows the various paths along which a mous   [#permalink] 28 Dec 2012, 01:52
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