There are n points in a plane,of which p poin | vedclass

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(C) Total number of points is $n$. The number of ways to select $2$ points from $n$ points is $^{n}C_{2}$.Since $p$ points are collinear,they all lie

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$^{n}C_{2} - ^{p}C_{2} + 1$

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(C) Total number of points is $n$. The number of ways to select $2$ points from $n$ points is $^{n}C_{2}$.Since $p$ points are collinear,they all lie on a single line. The number of ways to select $2$ points from these $p$ points is $^{p}C_{2}$.These $^{p}C_{2}$ selections would normally represent distinct lines,but since the points are collinear,they all form only $1$ single line.Therefore,the total number of lines is given by the formula: $^{n}C_{2} - ^{p}C_{2} + 1$.

There are $n$ points in a plane,of which $p$ points are collinear. How many lines can be formed from these points?

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