There are 2n points in a plane in which m are collinear (n > m > 4). Number of quadrilateral formed by joining these lines is
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is the number of ways in which 4 points can be selected out of 2n points.
is the number of ways in which 4 points can be selected out of m points (and in this case quadrilateral will not be formed as m points are collinear).
Also, if we select 3 points from ‘m’ collinear points and 1 point from 2n non collinear points quadrilateral will not be formed such type of selection will be 
.
∴ ∴ Total quadrilateral = 
Thus, number of quadrilateral is less than 
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