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Combination

Given 12 poin...

Question

Given 12 points in a plane no three of which are collinear, the number of lines they determine is:

A

20

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B

54

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C

120

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D

66

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E

none of these

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Solution

The correct option is D 66
12 points are given, no three of which are collinear.
$∴$ Number of lines formed $=^{12} C_{2} = \frac{12!}{10! \cdot 2!} = 66$

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