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# How many different lines are determined by 4 distinct points in a

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Math Expert
Joined: 02 Sep 2009
Posts: 49858
How many different lines are determined by 4 distinct points in a  [#permalink]

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11 Oct 2017, 00:56
00:00

Difficulty:

35% (medium)

Question Stats:

64% (01:05) correct 36% (01:02) wrong based on 100 sessions

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How many different lines are determined by 4 distinct points in a plane if no 3 of the points lie on the same straight line?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 12

_________________
Manager
Joined: 05 Dec 2016
Posts: 246
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
How many different lines are determined by 4 distinct points in a  [#permalink]

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11 Oct 2017, 02:00
4C2=4*3/2*1=6 lines

Manager
Joined: 22 May 2017
Posts: 90
GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: How many different lines are determined by 4 distinct points in a  [#permalink]

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12 Oct 2017, 07:17
Bunuel wrote:
How many different lines are determined by 4 distinct points in a plane if no 3 of the points lie on the same straight line?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 12

Answer is SIX. considering no three lines are in same line. It will make a rectangle or square or quadrilateral.

option C
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: How many different lines are determined by 4 distinct points in a  [#permalink]

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13 Oct 2017, 09:25
1
Bunuel wrote:
How many different lines are determined by 4 distinct points in a plane if no 3 of the points lie on the same straight line?

(A) 4
(B) 5
(C) 6
(D) 7
(E) 12

Since two points determine a line and there are 4 points (and no 3 of them are collinear), the number of lines that can be created is 4C2 = (4 x 3)/2! = 6.

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Jeffery Miller

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Re: How many different lines are determined by 4 distinct points in a &nbs [#permalink] 13 Oct 2017, 09:25
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