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There are n straight lines in a plane, i...

There are n straight lines in a plane, in which no two are parallel and no three pass through the same point. Their points of intersection are joined. Show that the number of new lines thus introduced is
`(1)/(8)n(n-1)(n-2)(n-3)`

A

`""^(n)C_(2)*((n-2)(n-3))/(4)`

B

`(n(n-1)(n-2)(n-3))/(6)`

C

`(n(n-1)(n-2)(n-3))/(8)`

D

`(n(n-1)(n-2))/(8)`

Text Solution

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The correct Answer is:
A, C
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