There are 16 points in a plane, out of which | vedclass

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(A) To find the number of lines that can be drawn by joining $n$ points where $m$ points are collinear, we use the formula: $	ext{Number of lines} =

Vedclass · Accepted Answer

$106$

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(A) To find the number of lines that can be drawn by joining $n$ points where $m$ points are collinear, we use the formula: $	ext{Number of lines} = ^{n}C_{2} - ^{m}C_{2} + 1$.Here, $n = 16$ and $m = 6$.Substituting the values:$	ext{Number of lines} = ^{16}C_{2} - ^{6}C_{2} + 1$$= \frac{16 	imes 15}{2} - \frac{6 	imes 5}{2} + 1$$= 120 - 15 + 1$$= 106$.Thus, the total number of lines that can be drawn is $106$.

There are $16$ points in a plane, out of which $6$ are collinear. How many lines can be drawn by joining these points?

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