Lines are drawn in a plane such that no two are parallel and no three are concurrent

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

nn lines are drawn in a plane such that no two are parallel and no three are concurrent. The number of different points at which these lines intersect is (1) ∑k=1n−1k\sum_{k=1}^{n-1} k (2) n(n−1)n(n-1) (3) n2n^2 (4) None of these

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