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

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

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New post 11 Oct 2017, 00:56
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Question Stats:

67% (00:37) correct 33% (00:42) wrong based on 74 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
[Reveal] Spoiler: OA

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

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

Answer C.

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Re: How many different lines are determined by 4 distinct points in a [#permalink]

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New post 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

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Re: How many different lines are determined by 4 distinct points in a [#permalink]

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New post 13 Oct 2017, 09:25
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.

Answer: C
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Kudos [?]: 900 [0], given: 5

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