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

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Intern
Joined: 21 Dec 2014
Posts: 7
There are 2 parallel line segments AB and CD in a plane.  [#permalink]

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14 Sep 2016, 06:40
2
6
00:00

Difficulty:

45% (medium)

Question Stats:

59% (01:43) correct 41% (01:18) wrong based on 127 sessions

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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. $$1024$$
Senior Manager
Joined: 23 Apr 2015
Posts: 321
Location: United States
Concentration: General Management, International Business
WE: Engineering (Consulting)
Re: There are 2 parallel line segments AB and CD in a plane.  [#permalink]

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14 Sep 2016, 07:05
2
1
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 $$8C_2 * 12$$

= $$12C_2 * 8 + 8C_2 *12 = 864$$
Math Expert
Joined: 02 Sep 2009
Posts: 48109
Re: There are 2 parallel line segments AB and CD in a plane.  [#permalink]

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14 Sep 2016, 07:20
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Joined: 09 Sep 2013
Posts: 7776
Re: There are 2 parallel line segments AB and CD in a plane.  [#permalink]

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13 Nov 2017, 10:56
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Re: There are 2 parallel line segments AB and CD in a plane. &nbs [#permalink] 13 Nov 2017, 10:56
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# There are 2 parallel line segments AB and CD in a plane.

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