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# The number of vertices formed by four lines could be any no.

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Intern
Joined: 21 Mar 2013
Posts: 38
GMAT Date: 03-20-2014
The number of vertices formed by four lines could be any no.  [#permalink]

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07 Mar 2014, 00:37
2
16
00:00

Difficulty:

55% (hard)

Question Stats:

51% (01:08) correct 49% (01:01) wrong based on 328 sessions

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The number of vertices formed by four lines could be any number from

A) 0 to 6

B) 1 to 6

C) 4 to 6

D) 0 to 4

E) 4 to 5
Math Expert
Joined: 02 Sep 2009
Posts: 53066
Re: The number of vertices formed by four lines could be any no.  [#permalink]

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07 Mar 2014, 00:43
2
4
idinuv wrote:
The number of vertices formed by four lines could be any number from

A) 0 to 6

B) 1 to 6

C) 4 to 6

D) 0 to 4

E) 4 to 5

If these four lines are parallel, then we'll have 0 vertices.

If no two of the four are parallel, then each distinct pair of lines will give a vertex, thus total of $$C^2_4=6$$ vertices.

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Joined: 13 Jun 2013
Posts: 275
Re: The number of vertices formed by four lines could be any no.  [#permalink]

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28 Dec 2014, 10:55
9
2
dina98 wrote:
yes, how do we get 5 and 6?

Please refer to the following diagram.
Attachments

points.jpg [ 24.47 KiB | Viewed 4150 times ]

##### General Discussion
Intern
Joined: 04 Jul 2013
Posts: 16
Re: The number of vertices formed by four lines could be any no.  [#permalink]

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28 Dec 2014, 10:22
Bunuel wrote:
idinuv wrote:
The number of vertices formed by four lines could be any number from

A) 0 to 6

B) 1 to 6

C) 4 to 6

D) 0 to 4

E) 4 to 5

If these four lines are parallel, then we'll have 0 vertices.

If no two of the four are parallel, then each distinct pair of lines will give a vertex, thus total of $$C^2_4=6$$ vertices.

Can u show us how 5 and 6 vertices can be drawn with the help of a diagram.
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Joined: 14 Jul 2014
Posts: 169
Location: United States
Schools: Duke '20 (D)
GMAT 1: 600 Q48 V27
GMAT 2: 720 Q50 V37
GPA: 3.2
Re: The number of vertices formed by four lines could be any no.  [#permalink]

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28 Dec 2014, 10:39
yes, how do we get 5 and 6?
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Joined: 09 Sep 2013
Posts: 9892
Re: The number of vertices formed by four lines could be any no.  [#permalink]

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19 Jan 2019, 13:43
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Re: The number of vertices formed by four lines could be any no.   [#permalink] 19 Jan 2019, 13:43
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