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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, 06:31
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Attachment:
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Path.png [ 13.46 KiB | Viewed 7475 times ]
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
[Reveal] Spoiler: OA
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 06:33
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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 11 Sep 2013, 00:43
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Jazmet wrote:
Hi Brunel - Would you help us with more such questions?


Somewhat similar questions:
alicia-lives-in-a-town-whose-streets-are-on-a-grid-system-126920.html
josh-has-to-run-an-electrical-wire-from-point-a-to-point-b-99962.html
as-per-the-given-figure-there-are-many-horizontal-and-134453.html
pat-will-walk-from-intersection-x-to-intersection-y-along-a-104817.html
josh-has-to-run-an-electrical-wire-from-point-a-to-point-b-99962.html
every-morning-casey-walks-from-her-house-to-the-bus-stop-104236.html

Hope this helps.
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 06:56
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 17 Dec 2012, 10:26
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, 10:46
Expert's post
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, 00:52
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
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 10 Sep 2013, 22:24
Hi Brunel - Would you help us with more such questions?
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Re: The diagram above shows the various paths along which a mous [#permalink] New post 15 Jul 2014, 01:49
Why is it multiplied here ? Why can't we add all options ?

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Re: The diagram above shows the various paths along which a mous [#permalink] New post 15 Jul 2014, 02:03
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kshitij89 wrote:
Why is it multiplied here ? Why can't we add all options ?

Posted from my mobile device Image


Because of Principle of Multiplication: if one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in m*n ways.

For example, if you have two pairs of shoes, A and B, and two shirts, X and Y, then there will be 2*2 = 4 shoes-shirt combinations:
AX;
AY;
BX;
BY.

Hope it's clear.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The diagram above shows the various paths along which a mous [#permalink] New post 21 Oct 2015, 14:16
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Re: The diagram above shows the various paths along which a mous   [#permalink] 21 Oct 2015, 14:16
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