IPMAT Rohtak 2020 (QA) PYQs

There are 10 points in the plane, of which 5 points are collinear and no three among the remaining are collinear. Then the number of distinct straight lines that can be formed out of these 10 points is

The number of triangles that can be formed by choosing points from 7 points on a line and 5 points on another parallel line is _________.

The number of values of $x$ for which $C \binom {17-x}{3x+1}$ is defined as an integer is