If there are 10 coplanar points,out of which | vedclass

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(B) To form a triangle,we need to select $3$ non-collinear points from the given set of points.Total number of ways to select $3$ points from $10$ poi

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$110$

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(B) To form a triangle,we need to select $3$ non-collinear points from the given set of points.Total number of ways to select $3$ points from $10$ points is given by $C(10, 3) = \frac{10 	imes 9 	imes 8}{3 	imes 2 	imes 1} = 120$.Since $5$ points are collinear,any selection of $3$ points from these $5$ points will not form a triangle.The number of ways to select $3$ points from these $5$ collinear points is $C(5, 3) = \frac{5 	imes 4 	imes 3}{3 	imes 2 	imes 1} = 10$.Therefore,the total number of triangles that can be formed is $120 - 10 = 110$.

If there are $10$ coplanar points,out of which $5$ are collinear,how many total triangles can be formed by joining these points?

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