Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 17:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The diagram above shows the various paths along which a mous

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Dec 2012
Posts: 178
Followers: 6

Kudos [?]: 2694 [0], given: 0

The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

17 Dec 2012, 07:31
12
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

82% (01:37) correct 18% (00:56) wrong based on 989 sessions

### HideShow timer Statistics

Attachment:

Path.png [ 13.46 KiB | Viewed 12767 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
Math Expert
Joined: 02 Sep 2009
Posts: 38858
Followers: 7728

Kudos [?]: 106047 [4] , given: 11607

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

17 Dec 2012, 07:33
4
KUDOS
Expert's post
8
This post was
BOOKMARKED
Attachment:

Path.png [ 16.12 KiB | Viewed 12921 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.

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 38858
Followers: 7728

Kudos [?]: 106047 [2] , given: 11607

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

11 Sep 2013, 01:43
2
KUDOS
Expert's post
6
This post was
BOOKMARKED
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GPA: 3.23
Followers: 26

Kudos [?]: 466 [1] , given: 11

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

28 Dec 2012, 01:52
1
KUDOS
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:
$$2*2*3 = 12$$

_________________

Impossible is nothing to God.

Intern
Joined: 09 Apr 2016
Posts: 38
Followers: 0

Kudos [?]: 1 [1] , given: 600

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

14 Oct 2016, 03:43
1
KUDOS
TheLordCommander wrote:

For the first point you have two options (2C1) for the C, same for the second point (2C1), for third point you have 3 options (3C1).

--> 2C1 * 2C1 * 3C1 = 2*2*3 = 12
Moderator
Joined: 01 Sep 2010
Posts: 3166
Followers: 855

Kudos [?]: 7302 [0], given: 1065

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

17 Dec 2012, 07:56
Also counting is fast

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

So C
_________________
Intern
Joined: 16 Apr 2009
Posts: 16
Followers: 0

Kudos [?]: 14 [0], given: 5

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

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.

Dear Bunnel,
Could you please clarify it more...How the forks are working?
Moderator
Joined: 01 Sep 2010
Posts: 3166
Followers: 855

Kudos [?]: 7302 [0], given: 1065

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

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.

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
_________________
Intern
Joined: 30 Jan 2013
Posts: 3
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

10 Sep 2013, 23:24
Hi Brunel - Would you help us with more such questions?
Intern
Joined: 09 Feb 2013
Posts: 18
Followers: 0

Kudos [?]: 0 [0], given: 50

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

15 Jul 2014, 02:49
Why is it multiplied here ? Why can't we add all options ?

Posted from my mobile device
Math Expert
Joined: 02 Sep 2009
Posts: 38858
Followers: 7728

Kudos [?]: 106047 [0], given: 11607

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

15 Jul 2014, 03:03
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.

Hope it's clear.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15431
Followers: 649

Kudos [?]: 207 [0], given: 0

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

21 Oct 2015, 15:16
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1027
Location: United States (CA)
Followers: 34

Kudos [?]: 537 [0], given: 2

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

21 Jun 2016, 10:24
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

The best way to solve this problem is to use the idea of the fundamental counting principle. In a more standard form you could be asked a question, such as if Tom as 3 belts, 4 ties, and 6 shirts, how many outfits could he make with those items? We can consider each item a decision point, i.e., belts, ties, and shirts. To solve this, we just need to multiply the number of decisions Tom can make together, so:

3 x 4 x 6 = 72 ways.

Tom has 72 options when dressing with those items.

This same logic can be applied to this problem here. We can first determine the number ways the mouse can go from one point to the next.

X to A = 1

A to B = 2

B to C = 1

C to D= 2

D to E = 1

E to F = 3

F to Y =1

Therefore, to find the total number of ways from X to Y we can multiply all these numbers together:

1 x 2 x 1 x 2 x 1 x 3 x 1 = 12 ways.

There are 12 different paths.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Joined: 23 Jan 2016
Posts: 185
Followers: 1

Kudos [?]: 16 [0], given: 490

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

17 Sep 2016, 07:42
Manager
Joined: 11 Aug 2016
Posts: 52
Location: India
Concentration: General Management, Finance
Schools: ISB '19, Rotman '19, IIM
GMAT 1: 550 Q36 V26
GPA: 3.6
WE: General Management (Other)
Followers: 0

Kudos [?]: 6 [0], given: 50

Re: The diagram above shows the various paths along which a mous [#permalink]

### Show Tags

14 May 2017, 23:07
We will do addition here also to answer the question posted earlier.
a We will first add 2 choice[1+1]
b Then we will add 2 choices [1+1]
c Then we will add 3 choices [1+1+1]
Then we will multiply the straight lines first to get 1
Then we will multiply the different probabilities a,b,c to get 12

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
Re: The diagram above shows the various paths along which a mous   [#permalink] 14 May 2017, 23:07
Similar topics Replies Last post
Similar
Topics:
5 Which of the following could be a value of x, in the diagram above? 3 17 Jun 2016, 01:56
1 The figure above shows a path around a triangular piece of land. Mary 3 17 Nov 2016, 09:36
2 The table above shows quantities of the various mobile phone models so 4 08 Jan 2015, 08:10
4 The table above shows the various charges made by two 6 04 Jan 2017, 22:44
5 The diagram below shows the various paths along which a 5 31 Aug 2013, 05:57
Display posts from previous: Sort by