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There are 2 parallel line segments AB and CD in a plane.
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14 Sep 2016, 06:40

2

6

00:00

A

B

C

D

E

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. \(1024\)

Re: There are 2 parallel line segments AB and CD in a plane.
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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 \(8C_2 * 12\)

Re: There are 2 parallel line segments AB and CD in a plane.
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14 Sep 2016, 07:20

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. \(1024\)

Re: There are 2 parallel line segments AB and CD in a plane.
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13 Nov 2017, 10:56

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