It is currently 23 Nov 2017, 21:30

### 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

# Six points lie on the circumference of a circle. What is the

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 05 Oct 2008
Posts: 267

Kudos [?]: 550 [0], given: 22

Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

05 Oct 2009, 06:11
2
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

80% (00:58) correct 20% (01:29) wrong based on 212 sessions

### HideShow timer Statistics

Six points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?

A. 4
B. 5
C. 6
D. 15
E. 20
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 Aug 2014, 07:34, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

Kudos [?]: 550 [0], given: 22

Senior Manager
Joined: 23 Jun 2009
Posts: 360

Kudos [?]: 134 [0], given: 80

Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

05 Oct 2009, 06:43
6c3-6c4=6.5.4/3.2.1-6.5.4.3/4.3.2.1=20-15=5

Kudos [?]: 134 [0], given: 80

Non-Human User
Joined: 09 Sep 2013
Posts: 15501

Kudos [?]: 283 [0], given: 0

Re: Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

16 Aug 2014, 07:06
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.
_________________

Kudos [?]: 283 [0], given: 0

Current Student
Joined: 21 Oct 2013
Posts: 193

Kudos [?]: 46 [0], given: 19

Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

25 Aug 2014, 22:19
Let's start with the triangle: You have 6 points to choose from but only 3 points you will connect and 3 points you will not connect.

Hence number of possibilities for triangle: 6! / 3! * 3! = 20

Same goes for the quadrilateral: 6 points to choose from, 4 points which you will connect and 2 points which you won't connect.

Number of possibilities for quadrilateral: 6! / 4! * 2! = 15

Difference = 5

Kudos [?]: 46 [0], given: 19

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1851

Kudos [?]: 2722 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

25 Aug 2014, 23:49
$$\frac{6!}{3!3!} - \frac{6!}{4!2!} = 20 - 15 = 5$$

_________________

Kindly press "+1 Kudos" to appreciate

Kudos [?]: 2722 [0], given: 193

Manager
Joined: 17 Mar 2014
Posts: 152

Kudos [?]: 77 [0], given: 353

Re: Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

13 Oct 2014, 04:26
study wrote:
Six points lie on the circumference of a circle. What is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?

A. 4
B. 5
C. 6
D. 15
E. 20

Number of triangles can be formed out of 6 points= 6C3=20
Number of quadrilaterals can be formed out of 6 points= 6C4=15

20-15=5.

Kudos [?]: 77 [0], given: 353

Non-Human User
Joined: 09 Sep 2013
Posts: 15501

Kudos [?]: 283 [0], given: 0

Re: Six points lie on the circumference of a circle. What is the [#permalink]

### Show Tags

23 May 2016, 04:50
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.
_________________

Kudos [?]: 283 [0], given: 0

Re: Six points lie on the circumference of a circle. What is the   [#permalink] 23 May 2016, 04:50
Display posts from previous: Sort by