There are ' n ' straight line in a plane, no two of which are parallel and no three pass through the same point. Their points of intersection are joined. Then the maximum number of fresh lines thus introduced is
n (n − 1) 2 (n − 3)
n (n − 1) (n + 2) (n − 3)
n (n − 1) (n − 2) (n − 3)
n (n + 1) (n + 2) (n − 3)
Text Solution
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If 'n' straight line intersect each other then total
number of intersection point is nC2 = 
Now, from these nC2 points we can make 
lines. (total old + new lines) and number of old lines are 
× n
So fresh lines are 
– 
× n = 
n (n - 1) (n - 2) (n - 3)
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