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

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 fresh lines thus introduced is `1/8n(n-1)(n-2)(n-3)`

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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