It is currently 18 Nov 2017, 16:48

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

How many triangles can be formed using 8 points in a given p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
B
Joined: 07 Nov 2016
Posts: 8

Kudos [?]: 1 [0], given: 33

Re: How many triangles can be formed using 8 points in a given p [#permalink]

Show Tags

New post 26 Aug 2017, 00:07
I think the answer is B and the exact answer for this will have 3 conditions.
Total no of points= 8 points
but 3 collinear points
1. 3 points to make the triangle is from the 5 points which are not collinear
5C3
2. 3 points to make the triangle is from 1 vertex from 3 collinear set and 2 vertex from 5 points set
3C1 * 5C2
3. 2 vertex of the triangle can be from the same collinear line as they can act as base and the 3rd vertex from the other 5 points
3C2 * 5C1

1+2+3= 5C3+3C1*5C2+3C2*5C1

Kudos [?]: 1 [0], given: 33

Intern
Intern
avatar
B
Joined: 01 Feb 2017
Posts: 43

Kudos [?]: 18 [0], given: 19

CAT Tests
Re: How many triangles can be formed using 8 points in a given p [#permalink]

Show Tags

New post 01 Nov 2017, 02:11
Let's name each of 8 points as a,b,c,d,e,f,g,h

Let's assume that a,b&c are in one straight line, so cannot form a triangle with each other.

Now, total possible Triangle that can be formed choosing any 3 points without any colinear constraint is 8C3 = 56.

Now, out of 56 possible sets of 3 points each, there is one set a-b-c that is incapable of forming a triangle. But, remaining 55 triangle are possible.

Hence, Statement 2 is sufficient and Ans is B.

Posted from my mobile device

Kudos [?]: 18 [0], given: 19

Re: How many triangles can be formed using 8 points in a given p   [#permalink] 01 Nov 2017, 02:11

Go to page   Previous    1   2   [ 22 posts ] 

Display posts from previous: Sort by

How many triangles can be formed using 8 points in a given p

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.