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There are n concurrent lines and another line parallel to one of them. The number of different triangles that will be formed by the (n + 1) lines, is

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a
(n−1)n2
b
(n−1)(n−2)2
c
n(n+1)2
d
(n+1)(n+2)2

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detailed solution

Correct option is B

The number of triangles = number of selections of 2 lines from the (n – 1) lines which are cut by the last line=n−1C2=(n−1)!2!(n−3)!=(n−1)(n−2)2


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