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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

Kudos [?]: 16 [1], given: 7

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

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14 Sep 2016, 05:40
1
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5
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Difficulty:

45% (medium)

Question Stats:

63% (01:40) correct 37% (01:16) wrong based on 98 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. $$1024$$
[Reveal] Spoiler: OA

Kudos [?]: 16 [1], given: 7

Senior Manager
Joined: 23 Apr 2015
Posts: 331

Kudos [?]: 124 [2], given: 36

Location: United States
WE: Engineering (Consulting)
Re: There are 2 parallel line segments AB and CD in a plane. [#permalink]

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14 Sep 2016, 06:05
2
KUDOS
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 $$8C_2 * 12$$

= $$12C_2 * 8 + 8C_2 *12 = 864$$

Kudos [?]: 124 [2], given: 36

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139695 [0], given: 12794

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

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14 Sep 2016, 06:20

Kudos [?]: 139695 [0], given: 12794

Non-Human User
Joined: 09 Sep 2013
Posts: 14201

Kudos [?]: 291 [0], given: 0

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

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13 Nov 2017, 09:56
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Kudos [?]: 291 [0], given: 0

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