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Q.

There are 20 straight lines in a plane such that no two of them are parallel and no three of them are concurrent. If this points of intersection are joined , then the number of new line segments formed are

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a

14535

b

17955

c

3420

d

2907

answer is B.

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Detailed Solution

No. of straight unes = 20

No two are parallel, no 3 are concurrent

No. of fresh unes =n(n-1) (n-2) (n-3)8

                                =20×19×18×178 =14,535

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