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The diagram above shows the various paths along which a mous [#permalink]
17 Dec 2012, 06:31
7
This post was BOOKMARKED
00:00
A
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Difficulty:
5% (low)
Question Stats:
81% (01:36) correct
19% (00:57) wrong based on 507 sessions
Attachment:
Path.png [ 13.46 KiB | Viewed 7441 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?
Re: The diagram above shows the various paths along which a mous [#permalink]
17 Dec 2012, 06:33
3
This post received KUDOS
Expert's post
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Attachment:
Path.png [ 16.12 KiB | Viewed 7574 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
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.
Re: The diagram above shows the various paths along which a mous [#permalink]
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?
Re: The diagram above shows the various paths along which a mous [#permalink]
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
Re: The diagram above shows the various paths along which a mous [#permalink]
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: \(2*2*3 = 12\)
Re: The diagram above shows the various paths along which a mous [#permalink]
15 Jul 2014, 02:03
Expert's post
kshitij89 wrote:
Why is it multiplied here ? Why can't we add all options ?
Posted from my mobile device
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.
Re: The diagram above shows the various paths along which a mous [#permalink]
21 Oct 2015, 14:16
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