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True-or-False:There are $12$ points in a plane of which $5$ points are collinear,then the number of lines obtained by joining these points in pair is $12C_2-5C_2$

$\begin{array}{1 1}(A)\;\text{True}\\(B)\;\text{False}\end{array} $

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  • $C(n,r)=\large\frac{n!}{r!(n-r)!}$
The number of lines obtained =$12C_2-5C_2+1$
Hence it is false.
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