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In a certain circle there are 10 . What is the number of the triangles

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Math Revolution GMAT Instructor
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GMAT 1: 800 Q59 V59
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In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 17 Feb 2016, 23:03
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Question Stats:

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In a certain circle there are 10 points. What is the number of the triangles connecting 3 points of the 10 points?

A. 80
B. 96
C. 108
D. 120
E. 132

* A solution will be posted in two days.

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Re: In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 17 Feb 2016, 23:16
IMO : D
HERE we have to select 3 points out of 10 points. Order is not important
So the answer will be 10c3 = 120
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Math Revolution GMAT Instructor
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Re: In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 20 Feb 2016, 23:24
In a certain circle there are 10. What is the number of the triangles connecting 3 points of the 10 points?

A. 80
B. 96
C. 108
D. 120
E. 132

--> If you connect 3 points out of 10, they make a circle. So, 10C3=10*9*8/3*2*1=120. Therefore, the answer is D.
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Re: In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 02 Oct 2016, 07:06
In the given circle 10 points are given
for constructing a triangle out of those points we need to select exactly 3 points which can be done 10C3 ways
\(\frac{10!}{7!*3!}\) = 120

correct answer - D
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Re: In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 03 May 2017, 19:15
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Bunuel: Please UnTag Probability
MathRevolution wrote:
In a certain circle there are 10 points. What is the number of the triangles connecting 3 points of the 10 points?

A. 80
B. 96
C. 108
D. 120
E. 132

* A solution will be posted in two days.

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Re: In a certain circle there are 10 . What is the number of the triangles [#permalink]

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New post 03 May 2017, 22:34
BrushMyQuant wrote:
Bunuel: Please UnTag Probability
MathRevolution wrote:
In a certain circle there are 10 points. What is the number of the triangles connecting 3 points of the 10 points?

A. 80
B. 96
C. 108
D. 120
E. 132

* A solution will be posted in two days.


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Re: In a certain circle there are 10 . What is the number of the triangles   [#permalink] 03 May 2017, 22:34
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