For the following two (02) items: There are 8 points on a plane out...

Total number of points on the plane is $n = 8$.

Number of collinear points is $m = 4$.

The total number of triangles that can be formed by joining $n$ points out of which $m$ are collinear is given by $^{n}C_{3} - ^{m}C_{3}$.

Substituting the values, we get $^{8}C_{3} - ^{4}C_{3}$.

$^{8}C_{3} = \dfrac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56$

$^{4}C_{3} = \dfrac{4 \times 3 \times 2}{3 \times 2 \times 1} = 4$

Total number of triangles $= 56 - 4 = 52$.

Answer: $52$