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(Q). There are 16 points in a plane out of which 7 of them are collinear. Find the number of quadrilaterals formed by joining these points as vertices?
Solution:-

without any restrictionwhen 4 points are taken from 7 collinear points when 3 points are taken from 7 collinear points &remaining 1 point is taken from 9 non-collinear points

= 1820 – 35 – 35×9
= 1470        Answer