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There are 2 parallel line segments AB and CD in a plane.

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There are 2 parallel line segments AB and CD in a plane. [#permalink]

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There are 2 parallel line segments AB and CD in a plane. AB contains 12 marked points whereas CD contains 8 marked points.
How many triangles can be formed by using these marked points as vertices?

a. \((12!*28) + (8!*66)\)
b. \(12!*8!\)
c. \(^{20}C_3\)
d. \(864\)
e. \(1024\)
[Reveal] Spoiler: OA

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Re: There are 2 parallel line segments AB and CD in a plane. [#permalink]

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New post 14 Sep 2016, 06:05
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TheOutlawTorn wrote:
There are 2 parallel line segments AB and CD in a plane. AB contains 12 marked points whereas CD contains 8 marked points.
How many triangles can be formed by using these marked points as vertices?

a. \((12!*28) + (8!*66)\)
b. \(12!*8!\)
c. \(^{20}C_3\)
d. \(864\)
e. \(1024\)



Combinations Problem :
Pick any 2 from AB and any one from CD, so \(12C_2 * 8\)
+
Pick any 2 from CD and any one from AB, so \(8C_2 * 12\)

= \(12C_2 * 8 + 8C_2 *12 = 864\)
Answer is D

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Re: There are 2 parallel line segments AB and CD in a plane. [#permalink]

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New post 14 Sep 2016, 06:20
TheOutlawTorn wrote:
There are 2 parallel line segments AB and CD in a plane. AB contains 12 marked points whereas CD contains 8 marked points.
How many triangles can be formed by using these marked points as vertices?

a. \((12!*28) + (8!*66)\)
b. \(12!*8!\)
c. \(^{20}C_3\)
d. \(864\)
e. \(1024\)


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Hope it helps.
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Re: There are 2 parallel line segments AB and CD in a plane. [#permalink]

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New post 13 Nov 2017, 09:56
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Re: There are 2 parallel line segments AB and CD in a plane.   [#permalink] 13 Nov 2017, 09:56
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